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Finding the Third Proportional to 149,476.50 and 249,126.75

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Solution

The third proportional to 149,476.50 and 249,126.75 is: 415,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,476.50 : 249,126.75 = 249,126.75 : x
  2. Step 2: Convert to fraction form
    149,476.50/249,126.75 = 249,126.75/x
  3. Step 3: Cross multiply
    149,476.50x = 249,126.75 × 249,126.75
  4. Step 4: Simplify right side
    149,476.50x = 62,064,137,565.56
  5. Step 5: Solve for x
    x = 62,064,137,565.56/149,476.50
  6. Step 6: Final answer
    x = 415,210.00

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Why These Related Problems?

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