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Finding the Third Proportional to 191,487 and 292,415

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Solution

The third proportional to 191,487 and 292,415 is: 446,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,487 : 292,415 = 292,415 : x
  2. Step 2: Convert to fraction form
    191,487/292,415 = 292,415/x
  3. Step 3: Cross multiply
    191,487x = 292,415 × 292,415
  4. Step 4: Simplify right side
    191,487x = 85,506,532,225
  5. Step 5: Solve for x
    x = 85,506,532,225/191,487
  6. Step 6: Final answer
    x = 446,539.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.