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Finding the Third Proportional to 117,632.25 and 277,646.63

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Solution

The third proportional to 117,632.25 and 277,646.63 is: 655,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,632.25 : 277,646.63 = 277,646.63 : x
  2. Step 2: Convert to fraction form
    117,632.25/277,646.63 = 277,646.63/x
  3. Step 3: Cross multiply
    117,632.25x = 277,646.63 × 277,646.63
  4. Step 4: Simplify right side
    117,632.25x = 77,087,648,373.89
  5. Step 5: Solve for x
    x = 77,087,648,373.89/117,632.25
  6. Step 6: Final answer
    x = 655,327.50

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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.