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Finding the Third Proportional to 271,508.63 and 357,034.50

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Solution

The third proportional to 271,508.63 and 357,034.50 is: 469,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,508.63 : 357,034.50 = 357,034.50 : x
  2. Step 2: Convert to fraction form
    271,508.63/357,034.50 = 357,034.50/x
  3. Step 3: Cross multiply
    271,508.63x = 357,034.50 × 357,034.50
  4. Step 4: Simplify right side
    271,508.63x = 127,473,634,190.25
  5. Step 5: Solve for x
    x = 127,473,634,190.25/271,508.63
  6. Step 6: Final answer
    x = 469,501.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.