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Finding the Third Proportional to 144,133.17 and 210,643.03

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Solution

The third proportional to 144,133.17 and 210,643.03 is: 307,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,133.17 : 210,643.03 = 210,643.03 : x
  2. Step 2: Convert to fraction form
    144,133.17/210,643.03 = 210,643.03/x
  3. Step 3: Cross multiply
    144,133.17x = 210,643.03 × 210,643.03
  4. Step 4: Simplify right side
    144,133.17x = 44,370,486,614.19
  5. Step 5: Solve for x
    x = 44,370,486,614.19/144,133.17
  6. Step 6: Final answer
    x = 307,843.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.