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Finding the Third Proportional to 197,079.47 and 432,309.94

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Solution

The third proportional to 197,079.47 and 432,309.94 is: 948,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,079.47 : 432,309.94 = 432,309.94 : x
  2. Step 2: Convert to fraction form
    197,079.47/432,309.94 = 432,309.94/x
  3. Step 3: Cross multiply
    197,079.47x = 432,309.94 × 432,309.94
  4. Step 4: Simplify right side
    197,079.47x = 186,891,882,061.25
  5. Step 5: Solve for x
    x = 186,891,882,061.25/197,079.47
  6. Step 6: Final answer
    x = 948,307.21

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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.