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Finding the Third Proportional to 253,094.63 and 356,008.88

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Solution

The third proportional to 253,094.63 and 356,008.88 is: 500,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,094.63 : 356,008.88 = 356,008.88 : x
  2. Step 2: Convert to fraction form
    253,094.63/356,008.88 = 356,008.88/x
  3. Step 3: Cross multiply
    253,094.63x = 356,008.88 × 356,008.88
  4. Step 4: Simplify right side
    253,094.63x = 126,742,319,078.77
  5. Step 5: Solve for x
    x = 126,742,319,078.77/253,094.63
  6. Step 6: Final answer
    x = 500,770.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.