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Finding the Third Proportional to 143,680 and 308,528

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Solution

The third proportional to 143,680 and 308,528 is: 662,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,680 : 308,528 = 308,528 : x
  2. Step 2: Convert to fraction form
    143,680/308,528 = 308,528/x
  3. Step 3: Cross multiply
    143,680x = 308,528 × 308,528
  4. Step 4: Simplify right side
    143,680x = 95,189,526,784
  5. Step 5: Solve for x
    x = 95,189,526,784/143,680
  6. Step 6: Final answer
    x = 662,510.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.