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Finding the Third Proportional to 301,301.50 and 413,151

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Solution

The third proportional to 301,301.50 and 413,151 is: 566,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,301.50 : 413,151 = 413,151 : x
  2. Step 2: Convert to fraction form
    301,301.50/413,151 = 413,151/x
  3. Step 3: Cross multiply
    301,301.50x = 413,151 × 413,151
  4. Step 4: Simplify right side
    301,301.50x = 170,693,748,801
  5. Step 5: Solve for x
    x = 170,693,748,801/301,301.50
  6. Step 6: Final answer
    x = 566,521.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.