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Finding the Third Proportional to 230,248.50 and 488,280

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Solution

The third proportional to 230,248.50 and 488,280 is: 1,035,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,248.50 : 488,280 = 488,280 : x
  2. Step 2: Convert to fraction form
    230,248.50/488,280 = 488,280/x
  3. Step 3: Cross multiply
    230,248.50x = 488,280 × 488,280
  4. Step 4: Simplify right side
    230,248.50x = 238,417,358,400
  5. Step 5: Solve for x
    x = 238,417,358,400/230,248.50
  6. Step 6: Final answer
    x = 1,035,478.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.