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Finding the Third Proportional to 191,169 and 297,206

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Solution

The third proportional to 191,169 and 297,206 is: 462,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,169 : 297,206 = 297,206 : x
  2. Step 2: Convert to fraction form
    191,169/297,206 = 297,206/x
  3. Step 3: Cross multiply
    191,169x = 297,206 × 297,206
  4. Step 4: Simplify right side
    191,169x = 88,331,406,436
  5. Step 5: Solve for x
    x = 88,331,406,436/191,169
  6. Step 6: Final answer
    x = 462,059.26

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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.