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Finding the Third Proportional to 153,056 and 331,044

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Solution

The third proportional to 153,056 and 331,044 is: 716,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,056 : 331,044 = 331,044 : x
  2. Step 2: Convert to fraction form
    153,056/331,044 = 331,044/x
  3. Step 3: Cross multiply
    153,056x = 331,044 × 331,044
  4. Step 4: Simplify right side
    153,056x = 109,590,129,936
  5. Step 5: Solve for x
    x = 109,590,129,936/153,056
  6. Step 6: Final answer
    x = 716,013.29

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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.