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Finding the Third Proportional to 151,830.75 and 216,285.75

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Solution

The third proportional to 151,830.75 and 216,285.75 is: 308,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,830.75 : 216,285.75 = 216,285.75 : x
  2. Step 2: Convert to fraction form
    151,830.75/216,285.75 = 216,285.75/x
  3. Step 3: Cross multiply
    151,830.75x = 216,285.75 × 216,285.75
  4. Step 4: Simplify right side
    151,830.75x = 46,779,525,653.06
  5. Step 5: Solve for x
    x = 46,779,525,653.06/151,830.75
  6. Step 6: Final answer
    x = 308,103.11

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.