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Finding the Third Proportional to 197,548.88 and 432,727.31

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Solution

The third proportional to 197,548.88 and 432,727.31 is: 947,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,548.88 : 432,727.31 = 432,727.31 : x
  2. Step 2: Convert to fraction form
    197,548.88/432,727.31 = 432,727.31/x
  3. Step 3: Cross multiply
    197,548.88x = 432,727.31 × 432,727.31
  4. Step 4: Simplify right side
    197,548.88x = 187,252,926,983.47
  5. Step 5: Solve for x
    x = 187,252,926,983.47/197,548.88
  6. Step 6: Final answer
    x = 947,881.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.