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Finding the Third Proportional to 116,641.13 and 314,209.13

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Solution

The third proportional to 116,641.13 and 314,209.13 is: 846,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,641.13 : 314,209.13 = 314,209.13 : x
  2. Step 2: Convert to fraction form
    116,641.13/314,209.13 = 314,209.13/x
  3. Step 3: Cross multiply
    116,641.13x = 314,209.13 × 314,209.13
  4. Step 4: Simplify right side
    116,641.13x = 98,727,374,233.27
  5. Step 5: Solve for x
    x = 98,727,374,233.27/116,641.13
  6. Step 6: Final answer
    x = 846,419.94

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.