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Finding the Third Proportional to 112,389.16 and 240,809.20

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Solution

The third proportional to 112,389.16 and 240,809.20 is: 515,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,389.16 : 240,809.20 = 240,809.20 : x
  2. Step 2: Convert to fraction form
    112,389.16/240,809.20 = 240,809.20/x
  3. Step 3: Cross multiply
    112,389.16x = 240,809.20 × 240,809.20
  4. Step 4: Simplify right side
    112,389.16x = 57,989,072,309.70
  5. Step 5: Solve for x
    x = 57,989,072,309.70/112,389.16
  6. Step 6: Final answer
    x = 515,966.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.