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Finding the Third Proportional to 175,446 and 256,061.25

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Solution

The third proportional to 175,446 and 256,061.25 is: 373,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,446 : 256,061.25 = 256,061.25 : x
  2. Step 2: Convert to fraction form
    175,446/256,061.25 = 256,061.25/x
  3. Step 3: Cross multiply
    175,446x = 256,061.25 × 256,061.25
  4. Step 4: Simplify right side
    175,446x = 65,567,363,751.56
  5. Step 5: Solve for x
    x = 65,567,363,751.56/175,446
  6. Step 6: Final answer
    x = 373,718.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.