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Finding the Third Proportional to 117,915.75 and 254,557.69

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Solution

The third proportional to 117,915.75 and 254,557.69 is: 549,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,915.75 : 254,557.69 = 254,557.69 : x
  2. Step 2: Convert to fraction form
    117,915.75/254,557.69 = 254,557.69/x
  3. Step 3: Cross multiply
    117,915.75x = 254,557.69 × 254,557.69
  4. Step 4: Simplify right side
    117,915.75x = 64,799,616,265.35
  5. Step 5: Solve for x
    x = 64,799,616,265.35/117,915.75
  6. Step 6: Final answer
    x = 549,541.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.