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Finding the Third Proportional to 76,430 and 165,658

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Solution

The third proportional to 76,430 and 165,658 is: 359,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430 : 165,658 = 165,658 : x
  2. Step 2: Convert to fraction form
    76,430/165,658 = 165,658/x
  3. Step 3: Cross multiply
    76,430x = 165,658 × 165,658
  4. Step 4: Simplify right side
    76,430x = 27,442,572,964
  5. Step 5: Solve for x
    x = 27,442,572,964/76,430
  6. Step 6: Final answer
    x = 359,054.99

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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.