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Finding the Third Proportional to 163,604 and 240,012

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Solution

The third proportional to 163,604 and 240,012 is: 352,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,604 : 240,012 = 240,012 : x
  2. Step 2: Convert to fraction form
    163,604/240,012 = 240,012/x
  3. Step 3: Cross multiply
    163,604x = 240,012 × 240,012
  4. Step 4: Simplify right side
    163,604x = 57,605,760,144
  5. Step 5: Solve for x
    x = 57,605,760,144/163,604
  6. Step 6: Final answer
    x = 352,104.84

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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.