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Finding the Third Proportional to 199,530.84 and 432,970.31

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Solution

The third proportional to 199,530.84 and 432,970.31 is: 939,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,530.84 : 432,970.31 = 432,970.31 : x
  2. Step 2: Convert to fraction form
    199,530.84/432,970.31 = 432,970.31/x
  3. Step 3: Cross multiply
    199,530.84x = 432,970.31 × 432,970.31
  4. Step 4: Simplify right side
    199,530.84x = 187,463,291,506.35
  5. Step 5: Solve for x
    x = 187,463,291,506.35/199,530.84
  6. Step 6: Final answer
    x = 939,520.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.