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Finding the Third Proportional to 200,596.50 and 319,356

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Solution

The third proportional to 200,596.50 and 319,356 is: 508,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596.50 : 319,356 = 319,356 : x
  2. Step 2: Convert to fraction form
    200,596.50/319,356 = 319,356/x
  3. Step 3: Cross multiply
    200,596.50x = 319,356 × 319,356
  4. Step 4: Simplify right side
    200,596.50x = 101,988,254,736
  5. Step 5: Solve for x
    x = 101,988,254,736/200,596.50
  6. Step 6: Final answer
    x = 508,424.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.