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Finding the Third Proportional to 145,550 and 214,229

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Solution

The third proportional to 145,550 and 214,229 is: 315,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,550 : 214,229 = 214,229 : x
  2. Step 2: Convert to fraction form
    145,550/214,229 = 214,229/x
  3. Step 3: Cross multiply
    145,550x = 214,229 × 214,229
  4. Step 4: Simplify right side
    145,550x = 45,894,064,441
  5. Step 5: Solve for x
    x = 45,894,064,441/145,550
  6. Step 6: Final answer
    x = 315,314.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.