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Finding the Third Proportional to 112,982 and 243,475

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Solution

The third proportional to 112,982 and 243,475 is: 524,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,982 : 243,475 = 243,475 : x
  2. Step 2: Convert to fraction form
    112,982/243,475 = 243,475/x
  3. Step 3: Cross multiply
    112,982x = 243,475 × 243,475
  4. Step 4: Simplify right side
    112,982x = 59,280,075,625
  5. Step 5: Solve for x
    x = 59,280,075,625/112,982
  6. Step 6: Final answer
    x = 524,686.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.