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Finding the Third Proportional to 215,730 and 322,363.50

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Solution

The third proportional to 215,730 and 322,363.50 is: 481,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,730 : 322,363.50 = 322,363.50 : x
  2. Step 2: Convert to fraction form
    215,730/322,363.50 = 322,363.50/x
  3. Step 3: Cross multiply
    215,730x = 322,363.50 × 322,363.50
  4. Step 4: Simplify right side
    215,730x = 103,918,226,132.25
  5. Step 5: Solve for x
    x = 103,918,226,132.25/215,730
  6. Step 6: Final answer
    x = 481,705.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.