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Finding the Third Proportional to 230,890 and 346,343

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Solution

The third proportional to 230,890 and 346,343 is: 519,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,890 : 346,343 = 346,343 : x
  2. Step 2: Convert to fraction form
    230,890/346,343 = 346,343/x
  3. Step 3: Cross multiply
    230,890x = 346,343 × 346,343
  4. Step 4: Simplify right side
    230,890x = 119,953,473,649
  5. Step 5: Solve for x
    x = 119,953,473,649/230,890
  6. Step 6: Final answer
    x = 519,526.50

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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.