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Finding the Third Proportional to 137,614.50 and 301,455

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Solution

The third proportional to 137,614.50 and 301,455 is: 660,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.50 : 301,455 = 301,455 : x
  2. Step 2: Convert to fraction form
    137,614.50/301,455 = 301,455/x
  3. Step 3: Cross multiply
    137,614.50x = 301,455 × 301,455
  4. Step 4: Simplify right side
    137,614.50x = 90,875,117,025
  5. Step 5: Solve for x
    x = 90,875,117,025/137,614.50
  6. Step 6: Final answer
    x = 660,360.04

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