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Finding the Third Proportional to 143,345 and 215,072

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Solution

The third proportional to 143,345 and 215,072 is: 322,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,345 : 215,072 = 215,072 : x
  2. Step 2: Convert to fraction form
    143,345/215,072 = 215,072/x
  3. Step 3: Cross multiply
    143,345x = 215,072 × 215,072
  4. Step 4: Simplify right side
    143,345x = 46,255,965,184
  5. Step 5: Solve for x
    x = 46,255,965,184/143,345
  6. Step 6: Final answer
    x = 322,689.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.