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Finding the Third Proportional to 112,300 and 242,410

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Solution

The third proportional to 112,300 and 242,410 is: 523,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,300 : 242,410 = 242,410 : x
  2. Step 2: Convert to fraction form
    112,300/242,410 = 242,410/x
  3. Step 3: Cross multiply
    112,300x = 242,410 × 242,410
  4. Step 4: Simplify right side
    112,300x = 58,762,608,100
  5. Step 5: Solve for x
    x = 58,762,608,100/112,300
  6. Step 6: Final answer
    x = 523,264.54

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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.