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Finding the Third Proportional to 151,970.50 and 351,814

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Solution

The third proportional to 151,970.50 and 351,814 is: 814,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,970.50 : 351,814 = 351,814 : x
  2. Step 2: Convert to fraction form
    151,970.50/351,814 = 351,814/x
  3. Step 3: Cross multiply
    151,970.50x = 351,814 × 351,814
  4. Step 4: Simplify right side
    151,970.50x = 123,773,090,596
  5. Step 5: Solve for x
    x = 123,773,090,596/151,970.50
  6. Step 6: Final answer
    x = 814,454.72

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.