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Finding the Third Proportional to 162,590 and 215,726

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Solution

The third proportional to 162,590 and 215,726 is: 286,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,590 : 215,726 = 215,726 : x
  2. Step 2: Convert to fraction form
    162,590/215,726 = 215,726/x
  3. Step 3: Cross multiply
    162,590x = 215,726 × 215,726
  4. Step 4: Simplify right side
    162,590x = 46,537,707,076
  5. Step 5: Solve for x
    x = 46,537,707,076/162,590
  6. Step 6: Final answer
    x = 286,227.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.