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Finding the Third Proportional to 163,800 and 240,328

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Solution

The third proportional to 163,800 and 240,328 is: 352,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,800 : 240,328 = 240,328 : x
  2. Step 2: Convert to fraction form
    163,800/240,328 = 240,328/x
  3. Step 3: Cross multiply
    163,800x = 240,328 × 240,328
  4. Step 4: Simplify right side
    163,800x = 57,757,547,584
  5. Step 5: Solve for x
    x = 57,757,547,584/163,800
  6. Step 6: Final answer
    x = 352,610.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.