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Finding the Third Proportional to 197,786.81 and 432,786.80

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Solution

The third proportional to 197,786.81 and 432,786.80 is: 947,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,786.81 : 432,786.80 = 432,786.80 : x
  2. Step 2: Convert to fraction form
    197,786.81/432,786.80 = 432,786.80/x
  3. Step 3: Cross multiply
    197,786.81x = 432,786.80 × 432,786.80
  4. Step 4: Simplify right side
    197,786.81x = 187,304,411,549.32
  5. Step 5: Solve for x
    x = 187,304,411,549.32/197,786.81
  6. Step 6: Final answer
    x = 947,001.52

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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.