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Finding the Third Proportional to 142,223 and 307,252

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Solution

The third proportional to 142,223 and 307,252 is: 663,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,223 : 307,252 = 307,252 : x
  2. Step 2: Convert to fraction form
    142,223/307,252 = 307,252/x
  3. Step 3: Cross multiply
    142,223x = 307,252 × 307,252
  4. Step 4: Simplify right side
    142,223x = 94,403,791,504
  5. Step 5: Solve for x
    x = 94,403,791,504/142,223
  6. Step 6: Final answer
    x = 663,773.03

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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.