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Finding the Third Proportional to 252,612.75 and 392,223.75

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Solution

The third proportional to 252,612.75 and 392,223.75 is: 608,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,612.75 : 392,223.75 = 392,223.75 : x
  2. Step 2: Convert to fraction form
    252,612.75/392,223.75 = 392,223.75/x
  3. Step 3: Cross multiply
    252,612.75x = 392,223.75 × 392,223.75
  4. Step 4: Simplify right side
    252,612.75x = 153,839,470,064.06
  5. Step 5: Solve for x
    x = 153,839,470,064.06/252,612.75
  6. Step 6: Final answer
    x = 608,993.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.