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Finding the Third Proportional to 176,202 and 272,943

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Solution

The third proportional to 176,202 and 272,943 is: 422,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,202 : 272,943 = 272,943 : x
  2. Step 2: Convert to fraction form
    176,202/272,943 = 272,943/x
  3. Step 3: Cross multiply
    176,202x = 272,943 × 272,943
  4. Step 4: Simplify right side
    176,202x = 74,497,881,249
  5. Step 5: Solve for x
    x = 74,497,881,249/176,202
  6. Step 6: Final answer
    x = 422,798.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.