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Finding the Third Proportional to 140,818 and 293,289

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Solution

The third proportional to 140,818 and 293,289 is: 610,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,818 : 293,289 = 293,289 : x
  2. Step 2: Convert to fraction form
    140,818/293,289 = 293,289/x
  3. Step 3: Cross multiply
    140,818x = 293,289 × 293,289
  4. Step 4: Simplify right side
    140,818x = 86,018,437,521
  5. Step 5: Solve for x
    x = 86,018,437,521/140,818
  6. Step 6: Final answer
    x = 610,848.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.