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Finding the Third Proportional to 140,024 and 307,265

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Solution

The third proportional to 140,024 and 307,265 is: 674,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,024 : 307,265 = 307,265 : x
  2. Step 2: Convert to fraction form
    140,024/307,265 = 307,265/x
  3. Step 3: Cross multiply
    140,024x = 307,265 × 307,265
  4. Step 4: Simplify right side
    140,024x = 94,411,780,225
  5. Step 5: Solve for x
    x = 94,411,780,225/140,024
  6. Step 6: Final answer
    x = 674,254.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.