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Finding the Third Proportional to 162,866 and 353,572

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Solution

The third proportional to 162,866 and 353,572 is: 767,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,866 : 353,572 = 353,572 : x
  2. Step 2: Convert to fraction form
    162,866/353,572 = 353,572/x
  3. Step 3: Cross multiply
    162,866x = 353,572 × 353,572
  4. Step 4: Simplify right side
    162,866x = 125,013,159,184
  5. Step 5: Solve for x
    x = 125,013,159,184/162,866
  6. Step 6: Final answer
    x = 767,582.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.