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Finding the Third Proportional to 238,390 and 360,014

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Solution

The third proportional to 238,390 and 360,014 is: 543,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,390 : 360,014 = 360,014 : x
  2. Step 2: Convert to fraction form
    238,390/360,014 = 360,014/x
  3. Step 3: Cross multiply
    238,390x = 360,014 × 360,014
  4. Step 4: Simplify right side
    238,390x = 129,610,080,196
  5. Step 5: Solve for x
    x = 129,610,080,196/238,390
  6. Step 6: Final answer
    x = 543,689.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.