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Finding the Third Proportional to 191,202 and 415,572

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Solution

The third proportional to 191,202 and 415,572 is: 903,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,202 : 415,572 = 415,572 : x
  2. Step 2: Convert to fraction form
    191,202/415,572 = 415,572/x
  3. Step 3: Cross multiply
    191,202x = 415,572 × 415,572
  4. Step 4: Simplify right side
    191,202x = 172,700,087,184
  5. Step 5: Solve for x
    x = 172,700,087,184/191,202
  6. Step 6: Final answer
    x = 903,233.69

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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.