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Finding the Third Proportional to 164,495.25 and 247,959

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Solution

The third proportional to 164,495.25 and 247,959 is: 373,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,495.25 : 247,959 = 247,959 : x
  2. Step 2: Convert to fraction form
    164,495.25/247,959 = 247,959/x
  3. Step 3: Cross multiply
    164,495.25x = 247,959 × 247,959
  4. Step 4: Simplify right side
    164,495.25x = 61,483,665,681
  5. Step 5: Solve for x
    x = 61,483,665,681/164,495.25
  6. Step 6: Final answer
    x = 373,771.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.