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Finding the Third Proportional to 117,648 and 277,506

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Solution

The third proportional to 117,648 and 277,506 is: 654,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,648 : 277,506 = 277,506 : x
  2. Step 2: Convert to fraction form
    117,648/277,506 = 277,506/x
  3. Step 3: Cross multiply
    117,648x = 277,506 × 277,506
  4. Step 4: Simplify right side
    117,648x = 77,009,580,036
  5. Step 5: Solve for x
    x = 77,009,580,036/117,648
  6. Step 6: Final answer
    x = 654,576.19

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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.