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Finding the Third Proportional to 190,518.75 and 413,869.50

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Solution

The third proportional to 190,518.75 and 413,869.50 is: 899,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,518.75 : 413,869.50 = 413,869.50 : x
  2. Step 2: Convert to fraction form
    190,518.75/413,869.50 = 413,869.50/x
  3. Step 3: Cross multiply
    190,518.75x = 413,869.50 × 413,869.50
  4. Step 4: Simplify right side
    190,518.75x = 171,287,963,030.25
  5. Step 5: Solve for x
    x = 171,287,963,030.25/190,518.75
  6. Step 6: Final answer
    x = 899,060.92

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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.