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Finding the Third Proportional to 272,186 and 355,789

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Solution

The third proportional to 272,186 and 355,789 is: 465,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,186 : 355,789 = 355,789 : x
  2. Step 2: Convert to fraction form
    272,186/355,789 = 355,789/x
  3. Step 3: Cross multiply
    272,186x = 355,789 × 355,789
  4. Step 4: Simplify right side
    272,186x = 126,585,812,521
  5. Step 5: Solve for x
    x = 126,585,812,521/272,186
  6. Step 6: Final answer
    x = 465,070.99

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.