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Finding the Third Proportional to 169,399 and 357,590

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Solution

The third proportional to 169,399 and 357,590 is: 754,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,399 : 357,590 = 357,590 : x
  2. Step 2: Convert to fraction form
    169,399/357,590 = 357,590/x
  3. Step 3: Cross multiply
    169,399x = 357,590 × 357,590
  4. Step 4: Simplify right side
    169,399x = 127,870,608,100
  5. Step 5: Solve for x
    x = 127,870,608,100/169,399
  6. Step 6: Final answer
    x = 754,848.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.