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Finding the Third Proportional to 116,658 and 255,913.88

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Solution

The third proportional to 116,658 and 255,913.88 is: 561,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658 : 255,913.88 = 255,913.88 : x
  2. Step 2: Convert to fraction form
    116,658/255,913.88 = 255,913.88/x
  3. Step 3: Cross multiply
    116,658x = 255,913.88 × 255,913.88
  4. Step 4: Simplify right side
    116,658x = 65,491,911,417.52
  5. Step 5: Solve for x
    x = 65,491,911,417.52/116,658
  6. Step 6: Final answer
    x = 561,400.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.