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Finding the Third Proportional to 149,478.75 and 249,130.69

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Solution

The third proportional to 149,478.75 and 249,130.69 is: 415,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,478.75 : 249,130.69 = 249,130.69 : x
  2. Step 2: Convert to fraction form
    149,478.75/249,130.69 = 249,130.69/x
  3. Step 3: Cross multiply
    149,478.75x = 249,130.69 × 249,130.69
  4. Step 4: Simplify right side
    149,478.75x = 62,066,099,454.22
  5. Step 5: Solve for x
    x = 62,066,099,454.22/149,478.75
  6. Step 6: Final answer
    x = 415,216.88

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.