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Finding the Third Proportional to 152,188.88 and 216,320.63

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Solution

The third proportional to 152,188.88 and 216,320.63 is: 307,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,188.88 : 216,320.63 = 216,320.63 : x
  2. Step 2: Convert to fraction form
    152,188.88/216,320.63 = 216,320.63/x
  3. Step 3: Cross multiply
    152,188.88x = 216,320.63 × 216,320.63
  4. Step 4: Simplify right side
    152,188.88x = 46,794,612,800.39
  5. Step 5: Solve for x
    x = 46,794,612,800.39/152,188.88
  6. Step 6: Final answer
    x = 307,477.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.