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Finding the Third Proportional to 186,937.50 and 253,479

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Solution

The third proportional to 186,937.50 and 253,479 is: 343,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,937.50 : 253,479 = 253,479 : x
  2. Step 2: Convert to fraction form
    186,937.50/253,479 = 253,479/x
  3. Step 3: Cross multiply
    186,937.50x = 253,479 × 253,479
  4. Step 4: Simplify right side
    186,937.50x = 64,251,603,441
  5. Step 5: Solve for x
    x = 64,251,603,441/186,937.50
  6. Step 6: Final answer
    x = 343,706.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.