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Finding the Third Proportional to 117,207.28 and 175,038.47

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Solution

The third proportional to 117,207.28 and 175,038.47 is: 261,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,207.28 : 175,038.47 = 175,038.47 : x
  2. Step 2: Convert to fraction form
    117,207.28/175,038.47 = 175,038.47/x
  3. Step 3: Cross multiply
    117,207.28x = 175,038.47 × 175,038.47
  4. Step 4: Simplify right side
    117,207.28x = 30,638,465,542.34
  5. Step 5: Solve for x
    x = 30,638,465,542.34/117,207.28
  6. Step 6: Final answer
    x = 261,404.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.