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Finding the Third Proportional to 116,484 and 255,432

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Solution

The third proportional to 116,484 and 255,432 is: 560,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,484 : 255,432 = 255,432 : x
  2. Step 2: Convert to fraction form
    116,484/255,432 = 255,432/x
  3. Step 3: Cross multiply
    116,484x = 255,432 × 255,432
  4. Step 4: Simplify right side
    116,484x = 65,245,506,624
  5. Step 5: Solve for x
    x = 65,245,506,624/116,484
  6. Step 6: Final answer
    x = 560,124.19

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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.