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Finding the Third Proportional to 149,437.50 and 322,488

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Solution

The third proportional to 149,437.50 and 322,488 is: 695,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,437.50 : 322,488 = 322,488 : x
  2. Step 2: Convert to fraction form
    149,437.50/322,488 = 322,488/x
  3. Step 3: Cross multiply
    149,437.50x = 322,488 × 322,488
  4. Step 4: Simplify right side
    149,437.50x = 103,998,510,144
  5. Step 5: Solve for x
    x = 103,998,510,144/149,437.50
  6. Step 6: Final answer
    x = 695,933.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.