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Finding the Third Proportional to 197,532 and 432,540

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Solution

The third proportional to 197,532 and 432,540 is: 947,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,532 : 432,540 = 432,540 : x
  2. Step 2: Convert to fraction form
    197,532/432,540 = 432,540/x
  3. Step 3: Cross multiply
    197,532x = 432,540 × 432,540
  4. Step 4: Simplify right side
    197,532x = 187,090,851,600
  5. Step 5: Solve for x
    x = 187,090,851,600/197,532
  6. Step 6: Final answer
    x = 947,141.99

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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.