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Finding the Third Proportional to 140,405.06 and 302,951.81

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Solution

The third proportional to 140,405.06 and 302,951.81 is: 653,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,405.06 : 302,951.81 = 302,951.81 : x
  2. Step 2: Convert to fraction form
    140,405.06/302,951.81 = 302,951.81/x
  3. Step 3: Cross multiply
    140,405.06x = 302,951.81 × 302,951.81
  4. Step 4: Simplify right side
    140,405.06x = 91,779,800,697.04
  5. Step 5: Solve for x
    x = 91,779,800,697.04/140,405.06
  6. Step 6: Final answer
    x = 653,678.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.