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Finding the Third Proportional to 169,391 and 357,574

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Solution

The third proportional to 169,391 and 357,574 is: 754,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,391 : 357,574 = 357,574 : x
  2. Step 2: Convert to fraction form
    169,391/357,574 = 357,574/x
  3. Step 3: Cross multiply
    169,391x = 357,574 × 357,574
  4. Step 4: Simplify right side
    169,391x = 127,859,165,476
  5. Step 5: Solve for x
    x = 127,859,165,476/169,391
  6. Step 6: Final answer
    x = 754,816.76

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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.