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Finding the Third Proportional to 157,550 and 233,850

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Solution

The third proportional to 157,550 and 233,850 is: 347,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,550 : 233,850 = 233,850 : x
  2. Step 2: Convert to fraction form
    157,550/233,850 = 233,850/x
  3. Step 3: Cross multiply
    157,550x = 233,850 × 233,850
  4. Step 4: Simplify right side
    157,550x = 54,685,822,500
  5. Step 5: Solve for x
    x = 54,685,822,500/157,550
  6. Step 6: Final answer
    x = 347,101.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.