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Finding the Third Proportional to 157,561 and 229,570

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Solution

The third proportional to 157,561 and 229,570 is: 334,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,561 : 229,570 = 229,570 : x
  2. Step 2: Convert to fraction form
    157,561/229,570 = 229,570/x
  3. Step 3: Cross multiply
    157,561x = 229,570 × 229,570
  4. Step 4: Simplify right side
    157,561x = 52,702,384,900
  5. Step 5: Solve for x
    x = 52,702,384,900/157,561
  6. Step 6: Final answer
    x = 334,488.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.