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Finding the Third Proportional to 109,648.13 and 240,237

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Solution

The third proportional to 109,648.13 and 240,237 is: 526,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,648.13 : 240,237 = 240,237 : x
  2. Step 2: Convert to fraction form
    109,648.13/240,237 = 240,237/x
  3. Step 3: Cross multiply
    109,648.13x = 240,237 × 240,237
  4. Step 4: Simplify right side
    109,648.13x = 57,713,816,169
  5. Step 5: Solve for x
    x = 57,713,816,169/109,648.13
  6. Step 6: Final answer
    x = 526,354.79

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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.