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Finding the Third Proportional to 157,612 and 235,861

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Solution

The third proportional to 157,612 and 235,861 is: 352,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,612 : 235,861 = 235,861 : x
  2. Step 2: Convert to fraction form
    157,612/235,861 = 235,861/x
  3. Step 3: Cross multiply
    157,612x = 235,861 × 235,861
  4. Step 4: Simplify right side
    157,612x = 55,630,411,321
  5. Step 5: Solve for x
    x = 55,630,411,321/157,612
  6. Step 6: Final answer
    x = 352,957.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.