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Finding the Third Proportional to 144,848.25 and 216,432

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Solution

The third proportional to 144,848.25 and 216,432 is: 323,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,848.25 : 216,432 = 216,432 : x
  2. Step 2: Convert to fraction form
    144,848.25/216,432 = 216,432/x
  3. Step 3: Cross multiply
    144,848.25x = 216,432 × 216,432
  4. Step 4: Simplify right side
    144,848.25x = 46,842,810,624
  5. Step 5: Solve for x
    x = 46,842,810,624/144,848.25
  6. Step 6: Final answer
    x = 323,392.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.