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Finding the Third Proportional to 247,530.94 and 386,089.03

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Solution

The third proportional to 247,530.94 and 386,089.03 is: 602,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,530.94 : 386,089.03 = 386,089.03 : x
  2. Step 2: Convert to fraction form
    247,530.94/386,089.03 = 386,089.03/x
  3. Step 3: Cross multiply
    247,530.94x = 386,089.03 × 386,089.03
  4. Step 4: Simplify right side
    247,530.94x = 149,064,740,051.56
  5. Step 5: Solve for x
    x = 149,064,740,051.56/247,530.94
  6. Step 6: Final answer
    x = 602,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.