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Finding the Third Proportional to 96,000.75 and 224,280

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Solution

The third proportional to 96,000.75 and 224,280 is: 523,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.75 : 224,280 = 224,280 : x
  2. Step 2: Convert to fraction form
    96,000.75/224,280 = 224,280/x
  3. Step 3: Cross multiply
    96,000.75x = 224,280 × 224,280
  4. Step 4: Simplify right side
    96,000.75x = 50,301,518,400
  5. Step 5: Solve for x
    x = 50,301,518,400/96,000.75
  6. Step 6: Final answer
    x = 523,970.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.