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Finding the Third Proportional to 235,916 and 375,248

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Solution

The third proportional to 235,916 and 375,248 is: 596,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,916 : 375,248 = 375,248 : x
  2. Step 2: Convert to fraction form
    235,916/375,248 = 375,248/x
  3. Step 3: Cross multiply
    235,916x = 375,248 × 375,248
  4. Step 4: Simplify right side
    235,916x = 140,811,061,504
  5. Step 5: Solve for x
    x = 140,811,061,504/235,916
  6. Step 6: Final answer
    x = 596,869.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.