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Finding the Third Proportional to 145,207.69 and 213,528.66

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Solution

The third proportional to 145,207.69 and 213,528.66 is: 313,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,207.69 : 213,528.66 = 213,528.66 : x
  2. Step 2: Convert to fraction form
    145,207.69/213,528.66 = 213,528.66/x
  3. Step 3: Cross multiply
    145,207.69x = 213,528.66 × 213,528.66
  4. Step 4: Simplify right side
    145,207.69x = 45,594,487,039.93
  5. Step 5: Solve for x
    x = 45,594,487,039.93/145,207.69
  6. Step 6: Final answer
    x = 313,994.99

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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.