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Finding the Third Proportional to 235,592 and 375,237

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Solution

The third proportional to 235,592 and 375,237 is: 597,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,592 : 375,237 = 375,237 : x
  2. Step 2: Convert to fraction form
    235,592/375,237 = 375,237/x
  3. Step 3: Cross multiply
    235,592x = 375,237 × 375,237
  4. Step 4: Simplify right side
    235,592x = 140,802,806,169
  5. Step 5: Solve for x
    x = 140,802,806,169/235,592
  6. Step 6: Final answer
    x = 597,655.29

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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.