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Finding the Third Proportional to 144,833.06 and 216,426.94

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Solution

The third proportional to 144,833.06 and 216,426.94 is: 323,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,833.06 : 216,426.94 = 216,426.94 : x
  2. Step 2: Convert to fraction form
    144,833.06/216,426.94 = 216,426.94/x
  3. Step 3: Cross multiply
    144,833.06x = 216,426.94 × 216,426.94
  4. Step 4: Simplify right side
    144,833.06x = 46,840,619,275.63
  5. Step 5: Solve for x
    x = 46,840,619,275.63/144,833.06
  6. Step 6: Final answer
    x = 323,411.09

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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.