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Finding the Third Proportional to 145,827.75 and 319,686.75

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Solution

The third proportional to 145,827.75 and 319,686.75 is: 700,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,827.75 : 319,686.75 = 319,686.75 : x
  2. Step 2: Convert to fraction form
    145,827.75/319,686.75 = 319,686.75/x
  3. Step 3: Cross multiply
    145,827.75x = 319,686.75 × 319,686.75
  4. Step 4: Simplify right side
    145,827.75x = 102,199,618,125.56
  5. Step 5: Solve for x
    x = 102,199,618,125.56/145,827.75
  6. Step 6: Final answer
    x = 700,824.21

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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.