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Finding the Third Proportional to 233,315 and 360,906

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Solution

The third proportional to 233,315 and 360,906 is: 558,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,315 : 360,906 = 360,906 : x
  2. Step 2: Convert to fraction form
    233,315/360,906 = 360,906/x
  3. Step 3: Cross multiply
    233,315x = 360,906 × 360,906
  4. Step 4: Simplify right side
    233,315x = 130,253,140,836
  5. Step 5: Solve for x
    x = 130,253,140,836/233,315
  6. Step 6: Final answer
    x = 558,271.61

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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.