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Finding the Third Proportional to 233,540 and 362,352

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Solution

The third proportional to 233,540 and 362,352 is: 562,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,540 : 362,352 = 362,352 : x
  2. Step 2: Convert to fraction form
    233,540/362,352 = 362,352/x
  3. Step 3: Cross multiply
    233,540x = 362,352 × 362,352
  4. Step 4: Simplify right side
    233,540x = 131,298,971,904
  5. Step 5: Solve for x
    x = 131,298,971,904/233,540
  6. Step 6: Final answer
    x = 562,211.92

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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.