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Finding the Third Proportional to 142,334 and 308,044

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Solution

The third proportional to 142,334 and 308,044 is: 666,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,334 : 308,044 = 308,044 : x
  2. Step 2: Convert to fraction form
    142,334/308,044 = 308,044/x
  3. Step 3: Cross multiply
    142,334x = 308,044 × 308,044
  4. Step 4: Simplify right side
    142,334x = 94,891,105,936
  5. Step 5: Solve for x
    x = 94,891,105,936/142,334
  6. Step 6: Final answer
    x = 666,679.12

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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.