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Finding the Third Proportional to 145,417.13 and 307,600.50

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Solution

The third proportional to 145,417.13 and 307,600.50 is: 650,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417.13 : 307,600.50 = 307,600.50 : x
  2. Step 2: Convert to fraction form
    145,417.13/307,600.50 = 307,600.50/x
  3. Step 3: Cross multiply
    145,417.13x = 307,600.50 × 307,600.50
  4. Step 4: Simplify right side
    145,417.13x = 94,618,067,600.25
  5. Step 5: Solve for x
    x = 94,618,067,600.25/145,417.13
  6. Step 6: Final answer
    x = 650,666.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.