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Finding the Third Proportional to 107,368.50 and 242,575.50

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Solution

The third proportional to 107,368.50 and 242,575.50 is: 548,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,368.50 : 242,575.50 = 242,575.50 : x
  2. Step 2: Convert to fraction form
    107,368.50/242,575.50 = 242,575.50/x
  3. Step 3: Cross multiply
    107,368.50x = 242,575.50 × 242,575.50
  4. Step 4: Simplify right side
    107,368.50x = 58,842,873,200.25
  5. Step 5: Solve for x
    x = 58,842,873,200.25/107,368.50
  6. Step 6: Final answer
    x = 548,045.97

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.