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Finding the Third Proportional to 140,966.16 and 303,938.16

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Solution

The third proportional to 140,966.16 and 303,938.16 is: 655,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,966.16 : 303,938.16 = 303,938.16 : x
  2. Step 2: Convert to fraction form
    140,966.16/303,938.16 = 303,938.16/x
  3. Step 3: Cross multiply
    140,966.16x = 303,938.16 × 303,938.16
  4. Step 4: Simplify right side
    140,966.16x = 92,378,402,824.65
  5. Step 5: Solve for x
    x = 92,378,402,824.65/140,966.16
  6. Step 6: Final answer
    x = 655,323.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.