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Finding the Third Proportional to 167,715 and 249,286.50

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Solution

The third proportional to 167,715 and 249,286.50 is: 370,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,715 : 249,286.50 = 249,286.50 : x
  2. Step 2: Convert to fraction form
    167,715/249,286.50 = 249,286.50/x
  3. Step 3: Cross multiply
    167,715x = 249,286.50 × 249,286.50
  4. Step 4: Simplify right side
    167,715x = 62,143,759,082.25
  5. Step 5: Solve for x
    x = 62,143,759,082.25/167,715
  6. Step 6: Final answer
    x = 370,531.91

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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.