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Finding the Third Proportional to 152,029 and 235,424

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Solution

The third proportional to 152,029 and 235,424 is: 364,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029 : 235,424 = 235,424 : x
  2. Step 2: Convert to fraction form
    152,029/235,424 = 235,424/x
  3. Step 3: Cross multiply
    152,029x = 235,424 × 235,424
  4. Step 4: Simplify right side
    152,029x = 55,424,459,776
  5. Step 5: Solve for x
    x = 55,424,459,776/152,029
  6. Step 6: Final answer
    x = 364,565.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.