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Finding the Third Proportional to 119,963.56 and 262,526.13

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Solution

The third proportional to 119,963.56 and 262,526.13 is: 574,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,963.56 : 262,526.13 = 262,526.13 : x
  2. Step 2: Convert to fraction form
    119,963.56/262,526.13 = 262,526.13/x
  3. Step 3: Cross multiply
    119,963.56x = 262,526.13 × 262,526.13
  4. Step 4: Simplify right side
    119,963.56x = 68,919,966,307.52
  5. Step 5: Solve for x
    x = 68,919,966,307.52/119,963.56
  6. Step 6: Final answer
    x = 574,507.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.