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Finding the Third Proportional to 116,835 and 253,353

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Solution

The third proportional to 116,835 and 253,353 is: 549,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,835 : 253,353 = 253,353 : x
  2. Step 2: Convert to fraction form
    116,835/253,353 = 253,353/x
  3. Step 3: Cross multiply
    116,835x = 253,353 × 253,353
  4. Step 4: Simplify right side
    116,835x = 64,187,742,609
  5. Step 5: Solve for x
    x = 64,187,742,609/116,835
  6. Step 6: Final answer
    x = 549,387.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.