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Finding the Third Proportional to 175,490 and 256,654

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Solution

The third proportional to 175,490 and 256,654 is: 375,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,490 : 256,654 = 256,654 : x
  2. Step 2: Convert to fraction form
    175,490/256,654 = 256,654/x
  3. Step 3: Cross multiply
    175,490x = 256,654 × 256,654
  4. Step 4: Simplify right side
    175,490x = 65,871,275,716
  5. Step 5: Solve for x
    x = 65,871,275,716/175,490
  6. Step 6: Final answer
    x = 375,356.29

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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.