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Finding the Third Proportional to 240,877.13 and 526,159.13

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Solution

The third proportional to 240,877.13 and 526,159.13 is: 1,149,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,877.13 : 526,159.13 = 526,159.13 : x
  2. Step 2: Convert to fraction form
    240,877.13/526,159.13 = 526,159.13/x
  3. Step 3: Cross multiply
    240,877.13x = 526,159.13 × 526,159.13
  4. Step 4: Simplify right side
    240,877.13x = 276,843,424,820.77
  5. Step 5: Solve for x
    x = 276,843,424,820.77/240,877.13
  6. Step 6: Final answer
    x = 1,149,313.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.