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Finding the Third Proportional to 229,070 and 344,037

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Solution

The third proportional to 229,070 and 344,037 is: 516,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,070 : 344,037 = 344,037 : x
  2. Step 2: Convert to fraction form
    229,070/344,037 = 344,037/x
  3. Step 3: Cross multiply
    229,070x = 344,037 × 344,037
  4. Step 4: Simplify right side
    229,070x = 118,361,457,369
  5. Step 5: Solve for x
    x = 118,361,457,369/229,070
  6. Step 6: Final answer
    x = 516,704.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.