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Finding the Third Proportional to 70,434 and 156,614.63

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Solution

The third proportional to 70,434 and 156,614.63 is: 348,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434 : 156,614.63 = 156,614.63 : x
  2. Step 2: Convert to fraction form
    70,434/156,614.63 = 156,614.63/x
  3. Step 3: Cross multiply
    70,434x = 156,614.63 × 156,614.63
  4. Step 4: Simplify right side
    70,434x = 24,528,140,763.89
  5. Step 5: Solve for x
    x = 24,528,140,763.89/70,434
  6. Step 6: Final answer
    x = 348,242.90

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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.