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Finding the Third Proportional to 170,019 and 249,844.50

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Solution

The third proportional to 170,019 and 249,844.50 is: 367,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,019 : 249,844.50 = 249,844.50 : x
  2. Step 2: Convert to fraction form
    170,019/249,844.50 = 249,844.50/x
  3. Step 3: Cross multiply
    170,019x = 249,844.50 × 249,844.50
  4. Step 4: Simplify right side
    170,019x = 62,422,274,180.25
  5. Step 5: Solve for x
    x = 62,422,274,180.25/170,019
  6. Step 6: Final answer
    x = 367,148.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.