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Finding the Third Proportional to 175,402 and 256,550

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Solution

The third proportional to 175,402 and 256,550 is: 375,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,402 : 256,550 = 256,550 : x
  2. Step 2: Convert to fraction form
    175,402/256,550 = 256,550/x
  3. Step 3: Cross multiply
    175,402x = 256,550 × 256,550
  4. Step 4: Simplify right side
    175,402x = 65,817,902,500
  5. Step 5: Solve for x
    x = 65,817,902,500/175,402
  6. Step 6: Final answer
    x = 375,240.32

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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.