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Finding the Third Proportional to 70,432 and 156,612.50

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Solution

The third proportional to 70,432 and 156,612.50 is: 348,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432 : 156,612.50 = 156,612.50 : x
  2. Step 2: Convert to fraction form
    70,432/156,612.50 = 156,612.50/x
  3. Step 3: Cross multiply
    70,432x = 156,612.50 × 156,612.50
  4. Step 4: Simplify right side
    70,432x = 24,527,475,156.25
  5. Step 5: Solve for x
    x = 24,527,475,156.25/70,432
  6. Step 6: Final answer
    x = 348,243.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.