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Finding the Third Proportional to 200,490.19 and 272,365.03

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Solution

The third proportional to 200,490.19 and 272,365.03 is: 370,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490.19 : 272,365.03 = 272,365.03 : x
  2. Step 2: Convert to fraction form
    200,490.19/272,365.03 = 272,365.03/x
  3. Step 3: Cross multiply
    200,490.19x = 272,365.03 × 272,365.03
  4. Step 4: Simplify right side
    200,490.19x = 74,182,710,247.81
  5. Step 5: Solve for x
    x = 74,182,710,247.81/200,490.19
  6. Step 6: Final answer
    x = 370,006.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.