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Finding the Third Proportional to 147,945 and 240,360

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Solution

The third proportional to 147,945 and 240,360 is: 390,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,945 : 240,360 = 240,360 : x
  2. Step 2: Convert to fraction form
    147,945/240,360 = 240,360/x
  3. Step 3: Cross multiply
    147,945x = 240,360 × 240,360
  4. Step 4: Simplify right side
    147,945x = 57,772,929,600
  5. Step 5: Solve for x
    x = 57,772,929,600/147,945
  6. Step 6: Final answer
    x = 390,502.75

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.