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Finding the Third Proportional to 151,574 and 233,679

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Solution

The third proportional to 151,574 and 233,679 is: 360,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,574 : 233,679 = 233,679 : x
  2. Step 2: Convert to fraction form
    151,574/233,679 = 233,679/x
  3. Step 3: Cross multiply
    151,574x = 233,679 × 233,679
  4. Step 4: Simplify right side
    151,574x = 54,605,875,041
  5. Step 5: Solve for x
    x = 54,605,875,041/151,574
  6. Step 6: Final answer
    x = 360,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.