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Finding the Third Proportional to 181,032 and 392,196

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Solution

The third proportional to 181,032 and 392,196 is: 849,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,032 : 392,196 = 392,196 : x
  2. Step 2: Convert to fraction form
    181,032/392,196 = 392,196/x
  3. Step 3: Cross multiply
    181,032x = 392,196 × 392,196
  4. Step 4: Simplify right side
    181,032x = 153,817,702,416
  5. Step 5: Solve for x
    x = 153,817,702,416/181,032
  6. Step 6: Final answer
    x = 849,671.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.