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Finding the Third Proportional to 141,834 and 215,698.50

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Solution

The third proportional to 141,834 and 215,698.50 is: 328,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,834 : 215,698.50 = 215,698.50 : x
  2. Step 2: Convert to fraction form
    141,834/215,698.50 = 215,698.50/x
  3. Step 3: Cross multiply
    141,834x = 215,698.50 × 215,698.50
  4. Step 4: Simplify right side
    141,834x = 46,525,842,902.25
  5. Step 5: Solve for x
    x = 46,525,842,902.25/141,834
  6. Step 6: Final answer
    x = 328,030.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.