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Finding the Third Proportional to 229,080 and 336,750

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Solution

The third proportional to 229,080 and 336,750 is: 495,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,080 : 336,750 = 336,750 : x
  2. Step 2: Convert to fraction form
    229,080/336,750 = 336,750/x
  3. Step 3: Cross multiply
    229,080x = 336,750 × 336,750
  4. Step 4: Simplify right side
    229,080x = 113,400,562,500
  5. Step 5: Solve for x
    x = 113,400,562,500/229,080
  6. Step 6: Final answer
    x = 495,026.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.