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Finding the Third Proportional to 140,038 and 302,310

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Solution

The third proportional to 140,038 and 302,310 is: 652,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,038 : 302,310 = 302,310 : x
  2. Step 2: Convert to fraction form
    140,038/302,310 = 302,310/x
  3. Step 3: Cross multiply
    140,038x = 302,310 × 302,310
  4. Step 4: Simplify right side
    140,038x = 91,391,336,100
  5. Step 5: Solve for x
    x = 91,391,336,100/140,038
  6. Step 6: Final answer
    x = 652,618.12

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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.