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Finding the Third Proportional to 201,345 and 272,492

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Solution

The third proportional to 201,345 and 272,492 is: 368,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,345 : 272,492 = 272,492 : x
  2. Step 2: Convert to fraction form
    201,345/272,492 = 272,492/x
  3. Step 3: Cross multiply
    201,345x = 272,492 × 272,492
  4. Step 4: Simplify right side
    201,345x = 74,251,890,064
  5. Step 5: Solve for x
    x = 74,251,890,064/201,345
  6. Step 6: Final answer
    x = 368,779.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.