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Finding the Third Proportional to 142,436 and 307,012

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Solution

The third proportional to 142,436 and 307,012 is: 661,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,436 : 307,012 = 307,012 : x
  2. Step 2: Convert to fraction form
    142,436/307,012 = 307,012/x
  3. Step 3: Cross multiply
    142,436x = 307,012 × 307,012
  4. Step 4: Simplify right side
    142,436x = 94,256,368,144
  5. Step 5: Solve for x
    x = 94,256,368,144/142,436
  6. Step 6: Final answer
    x = 661,745.40

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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.