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Finding the Third Proportional to 341,145 and 522,151.50

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Solution

The third proportional to 341,145 and 522,151.50 is: 799,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,145 : 522,151.50 = 522,151.50 : x
  2. Step 2: Convert to fraction form
    341,145/522,151.50 = 522,151.50/x
  3. Step 3: Cross multiply
    341,145x = 522,151.50 × 522,151.50
  4. Step 4: Simplify right side
    341,145x = 272,642,188,952.25
  5. Step 5: Solve for x
    x = 272,642,188,952.25/341,145
  6. Step 6: Final answer
    x = 799,197.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.