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Finding the Third Proportional to 165,363 and 262,188

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Solution

The third proportional to 165,363 and 262,188 is: 415,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,363 : 262,188 = 262,188 : x
  2. Step 2: Convert to fraction form
    165,363/262,188 = 262,188/x
  3. Step 3: Cross multiply
    165,363x = 262,188 × 262,188
  4. Step 4: Simplify right side
    165,363x = 68,742,547,344
  5. Step 5: Solve for x
    x = 68,742,547,344/165,363
  6. Step 6: Final answer
    x = 415,706.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.