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Finding the Third Proportional to 238,848 and 360,960

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Solution

The third proportional to 238,848 and 360,960 is: 545,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,848 : 360,960 = 360,960 : x
  2. Step 2: Convert to fraction form
    238,848/360,960 = 360,960/x
  3. Step 3: Cross multiply
    238,848x = 360,960 × 360,960
  4. Step 4: Simplify right side
    238,848x = 130,292,121,600
  5. Step 5: Solve for x
    x = 130,292,121,600/238,848
  6. Step 6: Final answer
    x = 545,502.25

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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.