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Finding the Third Proportional to 160,278.75 and 249,161.06

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Solution

The third proportional to 160,278.75 and 249,161.06 is: 387,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,278.75 : 249,161.06 = 249,161.06 : x
  2. Step 2: Convert to fraction form
    160,278.75/249,161.06 = 249,161.06/x
  3. Step 3: Cross multiply
    160,278.75x = 249,161.06 × 249,161.06
  4. Step 4: Simplify right side
    160,278.75x = 62,081,235,066.13
  5. Step 5: Solve for x
    x = 62,081,235,066.13/160,278.75
  6. Step 6: Final answer
    x = 387,332.91

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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.