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Finding the Third Proportional to 117,632 and 277,646

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Solution

The third proportional to 117,632 and 277,646 is: 655,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,632 : 277,646 = 277,646 : x
  2. Step 2: Convert to fraction form
    117,632/277,646 = 277,646/x
  3. Step 3: Cross multiply
    117,632x = 277,646 × 277,646
  4. Step 4: Simplify right side
    117,632x = 77,087,301,316
  5. Step 5: Solve for x
    x = 77,087,301,316/117,632
  6. Step 6: Final answer
    x = 655,325.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.