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Finding the Third Proportional to 170,476 and 358,924

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Solution

The third proportional to 170,476 and 358,924 is: 755,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,476 : 358,924 = 358,924 : x
  2. Step 2: Convert to fraction form
    170,476/358,924 = 358,924/x
  3. Step 3: Cross multiply
    170,476x = 358,924 × 358,924
  4. Step 4: Simplify right side
    170,476x = 128,826,437,776
  5. Step 5: Solve for x
    x = 128,826,437,776/170,476
  6. Step 6: Final answer
    x = 755,686.65

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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.