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Finding the Third Proportional to 154,090 and 230,514

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Solution

The third proportional to 154,090 and 230,514 is: 344,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,090 : 230,514 = 230,514 : x
  2. Step 2: Convert to fraction form
    154,090/230,514 = 230,514/x
  3. Step 3: Cross multiply
    154,090x = 230,514 × 230,514
  4. Step 4: Simplify right side
    154,090x = 53,136,704,196
  5. Step 5: Solve for x
    x = 53,136,704,196/154,090
  6. Step 6: Final answer
    x = 344,842.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.