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Finding the Third Proportional to 169,386 and 357,564

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Solution

The third proportional to 169,386 and 357,564 is: 754,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,386 : 357,564 = 357,564 : x
  2. Step 2: Convert to fraction form
    169,386/357,564 = 357,564/x
  3. Step 3: Cross multiply
    169,386x = 357,564 × 357,564
  4. Step 4: Simplify right side
    169,386x = 127,852,014,096
  5. Step 5: Solve for x
    x = 127,852,014,096/169,386
  6. Step 6: Final answer
    x = 754,796.82

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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.