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Finding the Third Proportional to 167,690 and 249,255.50

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Solution

The third proportional to 167,690 and 249,255.50 is: 370,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,690 : 249,255.50 = 249,255.50 : x
  2. Step 2: Convert to fraction form
    167,690/249,255.50 = 249,255.50/x
  3. Step 3: Cross multiply
    167,690x = 249,255.50 × 249,255.50
  4. Step 4: Simplify right side
    167,690x = 62,128,304,280.25
  5. Step 5: Solve for x
    x = 62,128,304,280.25/167,690
  6. Step 6: Final answer
    x = 370,494.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.