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Finding the Third Proportional to 143,382 and 210,132

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Solution

The third proportional to 143,382 and 210,132 is: 307,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,382 : 210,132 = 210,132 : x
  2. Step 2: Convert to fraction form
    143,382/210,132 = 210,132/x
  3. Step 3: Cross multiply
    143,382x = 210,132 × 210,132
  4. Step 4: Simplify right side
    143,382x = 44,155,457,424
  5. Step 5: Solve for x
    x = 44,155,457,424/143,382
  6. Step 6: Final answer
    x = 307,956.77

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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.