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Finding the Third Proportional to 165,426 and 201,714

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Solution

The third proportional to 165,426 and 201,714 is: 245,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,426 : 201,714 = 201,714 : x
  2. Step 2: Convert to fraction form
    165,426/201,714 = 201,714/x
  3. Step 3: Cross multiply
    165,426x = 201,714 × 201,714
  4. Step 4: Simplify right side
    165,426x = 40,688,537,796
  5. Step 5: Solve for x
    x = 40,688,537,796/165,426
  6. Step 6: Final answer
    x = 245,962.17

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.