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Finding the Third Proportional to 142,501 and 225,635

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Solution

The third proportional to 142,501 and 225,635 is: 357,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,501 : 225,635 = 225,635 : x
  2. Step 2: Convert to fraction form
    142,501/225,635 = 225,635/x
  3. Step 3: Cross multiply
    142,501x = 225,635 × 225,635
  4. Step 4: Simplify right side
    142,501x = 50,911,153,225
  5. Step 5: Solve for x
    x = 50,911,153,225/142,501
  6. Step 6: Final answer
    x = 357,268.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.