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Finding the Third Proportional to 169,566 and 358,032

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Solution

The third proportional to 169,566 and 358,032 is: 755,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,566 : 358,032 = 358,032 : x
  2. Step 2: Convert to fraction form
    169,566/358,032 = 358,032/x
  3. Step 3: Cross multiply
    169,566x = 358,032 × 358,032
  4. Step 4: Simplify right side
    169,566x = 128,186,913,024
  5. Step 5: Solve for x
    x = 128,186,913,024/169,566
  6. Step 6: Final answer
    x = 755,970.61

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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.