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Finding the Third Proportional to 238,560 and 371,088

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Solution

The third proportional to 238,560 and 371,088 is: 577,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,560 : 371,088 = 371,088 : x
  2. Step 2: Convert to fraction form
    238,560/371,088 = 371,088/x
  3. Step 3: Cross multiply
    238,560x = 371,088 × 371,088
  4. Step 4: Simplify right side
    238,560x = 137,706,303,744
  5. Step 5: Solve for x
    x = 137,706,303,744/238,560
  6. Step 6: Final answer
    x = 577,239.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.