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Finding the Third Proportional to 191,475 and 409,014

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Solution

The third proportional to 191,475 and 409,014 is: 873,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,475 : 409,014 = 409,014 : x
  2. Step 2: Convert to fraction form
    191,475/409,014 = 409,014/x
  3. Step 3: Cross multiply
    191,475x = 409,014 × 409,014
  4. Step 4: Simplify right side
    191,475x = 167,292,452,196
  5. Step 5: Solve for x
    x = 167,292,452,196/191,475
  6. Step 6: Final answer
    x = 873,703.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.