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Finding the Third Proportional to 178,426.13 and 262,710.56

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Solution

The third proportional to 178,426.13 and 262,710.56 is: 386,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,426.13 : 262,710.56 = 262,710.56 : x
  2. Step 2: Convert to fraction form
    178,426.13/262,710.56 = 262,710.56/x
  3. Step 3: Cross multiply
    178,426.13x = 262,710.56 × 262,710.56
  4. Step 4: Simplify right side
    178,426.13x = 69,016,839,649.07
  5. Step 5: Solve for x
    x = 69,016,839,649.07/178,426.13
  6. Step 6: Final answer
    x = 386,809.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.