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Finding the Third Proportional to 233,217 and 360,132

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Solution

The third proportional to 233,217 and 360,132 is: 556,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,217 : 360,132 = 360,132 : x
  2. Step 2: Convert to fraction form
    233,217/360,132 = 360,132/x
  3. Step 3: Cross multiply
    233,217x = 360,132 × 360,132
  4. Step 4: Simplify right side
    233,217x = 129,695,057,424
  5. Step 5: Solve for x
    x = 129,695,057,424/233,217
  6. Step 6: Final answer
    x = 556,113.22

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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.