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Finding the Third Proportional to 233,154 and 360,017

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Solution

The third proportional to 233,154 and 360,017 is: 555,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,154 : 360,017 = 360,017 : x
  2. Step 2: Convert to fraction form
    233,154/360,017 = 360,017/x
  3. Step 3: Cross multiply
    233,154x = 360,017 × 360,017
  4. Step 4: Simplify right side
    233,154x = 129,612,240,289
  5. Step 5: Solve for x
    x = 129,612,240,289/233,154
  6. Step 6: Final answer
    x = 555,908.29

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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.