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Finding the Third Proportional to 112,476 and 243,312

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Solution

The third proportional to 112,476 and 243,312 is: 526,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,476 : 243,312 = 243,312 : x
  2. Step 2: Convert to fraction form
    112,476/243,312 = 243,312/x
  3. Step 3: Cross multiply
    112,476x = 243,312 × 243,312
  4. Step 4: Simplify right side
    112,476x = 59,200,729,344
  5. Step 5: Solve for x
    x = 59,200,729,344/112,476
  6. Step 6: Final answer
    x = 526,340.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.