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Finding the Third Proportional to 114,931.13 and 243,685.13

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Solution

The third proportional to 114,931.13 and 243,685.13 is: 516,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,931.13 : 243,685.13 = 243,685.13 : x
  2. Step 2: Convert to fraction form
    114,931.13/243,685.13 = 243,685.13/x
  3. Step 3: Cross multiply
    114,931.13x = 243,685.13 × 243,685.13
  4. Step 4: Simplify right side
    114,931.13x = 59,382,440,146.27
  5. Step 5: Solve for x
    x = 59,382,440,146.27/114,931.13
  6. Step 6: Final answer
    x = 516,678.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.