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Finding the Third Proportional to 153,432 and 235,098

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Solution

The third proportional to 153,432 and 235,098 is: 360,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,432 : 235,098 = 235,098 : x
  2. Step 2: Convert to fraction form
    153,432/235,098 = 235,098/x
  3. Step 3: Cross multiply
    153,432x = 235,098 × 235,098
  4. Step 4: Simplify right side
    153,432x = 55,271,069,604
  5. Step 5: Solve for x
    x = 55,271,069,604/153,432
  6. Step 6: Final answer
    x = 360,231.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.