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Finding the Third Proportional to 162,837 and 353,521.13

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Solution

The third proportional to 162,837 and 353,521.13 is: 767,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,837 : 353,521.13 = 353,521.13 : x
  2. Step 2: Convert to fraction form
    162,837/353,521.13 = 353,521.13/x
  3. Step 3: Cross multiply
    162,837x = 353,521.13 × 353,521.13
  4. Step 4: Simplify right side
    162,837x = 124,977,185,821.27
  5. Step 5: Solve for x
    x = 124,977,185,821.27/162,837
  6. Step 6: Final answer
    x = 767,498.70

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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.