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Finding the Third Proportional to 240,809.20 and 375,002.16

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Solution

The third proportional to 240,809.20 and 375,002.16 is: 583,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,809.20 : 375,002.16 = 375,002.16 : x
  2. Step 2: Convert to fraction form
    240,809.20/375,002.16 = 375,002.16/x
  3. Step 3: Cross multiply
    240,809.20x = 375,002.16 × 375,002.16
  4. Step 4: Simplify right side
    240,809.20x = 140,626,617,192.15
  5. Step 5: Solve for x
    x = 140,626,617,192.15/240,809.20
  6. Step 6: Final answer
    x = 583,975.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.