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Finding the Third Proportional to 129,078 and 277,931.25

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Solution

The third proportional to 129,078 and 277,931.25 is: 598,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,078 : 277,931.25 = 277,931.25 : x
  2. Step 2: Convert to fraction form
    129,078/277,931.25 = 277,931.25/x
  3. Step 3: Cross multiply
    129,078x = 277,931.25 × 277,931.25
  4. Step 4: Simplify right side
    129,078x = 77,245,779,726.56
  5. Step 5: Solve for x
    x = 77,245,779,726.56/129,078
  6. Step 6: Final answer
    x = 598,442.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.