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Finding the Third Proportional to 233,574 and 361,251

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Solution

The third proportional to 233,574 and 361,251 is: 558,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,574 : 361,251 = 361,251 : x
  2. Step 2: Convert to fraction form
    233,574/361,251 = 361,251/x
  3. Step 3: Cross multiply
    233,574x = 361,251 × 361,251
  4. Step 4: Simplify right side
    233,574x = 130,502,285,001
  5. Step 5: Solve for x
    x = 130,502,285,001/233,574
  6. Step 6: Final answer
    x = 558,719.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.