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Finding the Third Proportional to 176,280 and 272,196

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Solution

The third proportional to 176,280 and 272,196 is: 420,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,280 : 272,196 = 272,196 : x
  2. Step 2: Convert to fraction form
    176,280/272,196 = 272,196/x
  3. Step 3: Cross multiply
    176,280x = 272,196 × 272,196
  4. Step 4: Simplify right side
    176,280x = 74,090,662,416
  5. Step 5: Solve for x
    x = 74,090,662,416/176,280
  6. Step 6: Final answer
    x = 420,301.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.