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Finding the Third Proportional to 165,754 and 245,523.75

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Solution

The third proportional to 165,754 and 245,523.75 is: 363,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,754 : 245,523.75 = 245,523.75 : x
  2. Step 2: Convert to fraction form
    165,754/245,523.75 = 245,523.75/x
  3. Step 3: Cross multiply
    165,754x = 245,523.75 × 245,523.75
  4. Step 4: Simplify right side
    165,754x = 60,281,911,814.06
  5. Step 5: Solve for x
    x = 60,281,911,814.06/165,754
  6. Step 6: Final answer
    x = 363,683.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.