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Finding the Third Proportional to 232,818 and 344,862

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Solution

The third proportional to 232,818 and 344,862 is: 510,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,818 : 344,862 = 344,862 : x
  2. Step 2: Convert to fraction form
    232,818/344,862 = 344,862/x
  3. Step 3: Cross multiply
    232,818x = 344,862 × 344,862
  4. Step 4: Simplify right side
    232,818x = 118,929,799,044
  5. Step 5: Solve for x
    x = 118,929,799,044/232,818
  6. Step 6: Final answer
    x = 510,827.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.