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Finding the Third Proportional to 144,159.75 and 221,707.13

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Solution

The third proportional to 144,159.75 and 221,707.13 is: 340,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,159.75 : 221,707.13 = 221,707.13 : x
  2. Step 2: Convert to fraction form
    144,159.75/221,707.13 = 221,707.13/x
  3. Step 3: Cross multiply
    144,159.75x = 221,707.13 × 221,707.13
  4. Step 4: Simplify right side
    144,159.75x = 49,154,049,275.77
  5. Step 5: Solve for x
    x = 49,154,049,275.77/144,159.75
  6. Step 6: Final answer
    x = 340,969.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.