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Finding the Third Proportional to 169,384 and 357,560

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Solution

The third proportional to 169,384 and 357,560 is: 754,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,384 : 357,560 = 357,560 : x
  2. Step 2: Convert to fraction form
    169,384/357,560 = 357,560/x
  3. Step 3: Cross multiply
    169,384x = 357,560 × 357,560
  4. Step 4: Simplify right side
    169,384x = 127,849,153,600
  5. Step 5: Solve for x
    x = 127,849,153,600/169,384
  6. Step 6: Final answer
    x = 754,788.84

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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.