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Finding the Third Proportional to 120,363.47 and 186,269.63

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Solution

The third proportional to 120,363.47 and 186,269.63 is: 288,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,363.47 : 186,269.63 = 186,269.63 : x
  2. Step 2: Convert to fraction form
    120,363.47/186,269.63 = 186,269.63/x
  3. Step 3: Cross multiply
    120,363.47x = 186,269.63 × 186,269.63
  4. Step 4: Simplify right side
    120,363.47x = 34,696,373,197.64
  5. Step 5: Solve for x
    x = 34,696,373,197.64/120,363.47
  6. Step 6: Final answer
    x = 288,263.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.