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Finding the Third Proportional to 162,930 and 348,639

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Solution

The third proportional to 162,930 and 348,639 is: 746,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,930 : 348,639 = 348,639 : x
  2. Step 2: Convert to fraction form
    162,930/348,639 = 348,639/x
  3. Step 3: Cross multiply
    162,930x = 348,639 × 348,639
  4. Step 4: Simplify right side
    162,930x = 121,549,152,321
  5. Step 5: Solve for x
    x = 121,549,152,321/162,930
  6. Step 6: Final answer
    x = 746,020.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.