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Finding the Third Proportional to 155,692.76 and 340,465.78

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Solution

The third proportional to 155,692.76 and 340,465.78 is: 744,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,692.76 : 340,465.78 = 340,465.78 : x
  2. Step 2: Convert to fraction form
    155,692.76/340,465.78 = 340,465.78/x
  3. Step 3: Cross multiply
    155,692.76x = 340,465.78 × 340,465.78
  4. Step 4: Simplify right side
    155,692.76x = 115,916,948,202.17
  5. Step 5: Solve for x
    x = 115,916,948,202.17/155,692.76
  6. Step 6: Final answer
    x = 744,523.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.