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Finding the Third Proportional to 233,280 and 344,999.25

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Solution

The third proportional to 233,280 and 344,999.25 is: 510,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 344,999.25 = 344,999.25 : x
  2. Step 2: Convert to fraction form
    233,280/344,999.25 = 344,999.25/x
  3. Step 3: Cross multiply
    233,280x = 344,999.25 × 344,999.25
  4. Step 4: Simplify right side
    233,280x = 119,024,482,500.56
  5. Step 5: Solve for x
    x = 119,024,482,500.56/233,280
  6. Step 6: Final answer
    x = 510,221.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.