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Finding the Third Proportional to 144,436.50 and 337,473

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Solution

The third proportional to 144,436.50 and 337,473 is: 788,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,436.50 : 337,473 = 337,473 : x
  2. Step 2: Convert to fraction form
    144,436.50/337,473 = 337,473/x
  3. Step 3: Cross multiply
    144,436.50x = 337,473 × 337,473
  4. Step 4: Simplify right side
    144,436.50x = 113,888,025,729
  5. Step 5: Solve for x
    x = 113,888,025,729/144,436.50
  6. Step 6: Final answer
    x = 788,498.93

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.