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Finding the Third Proportional to 160,233 and 249,090.75

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Solution

The third proportional to 160,233 and 249,090.75 is: 387,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,233 : 249,090.75 = 249,090.75 : x
  2. Step 2: Convert to fraction form
    160,233/249,090.75 = 249,090.75/x
  3. Step 3: Cross multiply
    160,233x = 249,090.75 × 249,090.75
  4. Step 4: Simplify right side
    160,233x = 62,046,201,735.56
  5. Step 5: Solve for x
    x = 62,046,201,735.56/160,233
  6. Step 6: Final answer
    x = 387,224.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.