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Finding the Third Proportional to 182,493.75 and 390,207.75

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Solution

The third proportional to 182,493.75 and 390,207.75 is: 834,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,493.75 : 390,207.75 = 390,207.75 : x
  2. Step 2: Convert to fraction form
    182,493.75/390,207.75 = 390,207.75/x
  3. Step 3: Cross multiply
    182,493.75x = 390,207.75 × 390,207.75
  4. Step 4: Simplify right side
    182,493.75x = 152,262,088,160.06
  5. Step 5: Solve for x
    x = 152,262,088,160.06/182,493.75
  6. Step 6: Final answer
    x = 834,341.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.