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Finding the Third Proportional to 114,854 and 243,604

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Solution

The third proportional to 114,854 and 243,604 is: 516,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,854 : 243,604 = 243,604 : x
  2. Step 2: Convert to fraction form
    114,854/243,604 = 243,604/x
  3. Step 3: Cross multiply
    114,854x = 243,604 × 243,604
  4. Step 4: Simplify right side
    114,854x = 59,342,908,816
  5. Step 5: Solve for x
    x = 59,342,908,816/114,854
  6. Step 6: Final answer
    x = 516,681.25

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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.