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Finding the Third Proportional to 140,499 and 301,095

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Solution

The third proportional to 140,499 and 301,095 is: 645,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,499 : 301,095 = 301,095 : x
  2. Step 2: Convert to fraction form
    140,499/301,095 = 301,095/x
  3. Step 3: Cross multiply
    140,499x = 301,095 × 301,095
  4. Step 4: Simplify right side
    140,499x = 90,658,199,025
  5. Step 5: Solve for x
    x = 90,658,199,025/140,499
  6. Step 6: Final answer
    x = 645,258.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.