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Finding the Third Proportional to 190,109 and 415,275.50

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Solution

The third proportional to 190,109 and 415,275.50 is: 907,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,109 : 415,275.50 = 415,275.50 : x
  2. Step 2: Convert to fraction form
    190,109/415,275.50 = 415,275.50/x
  3. Step 3: Cross multiply
    190,109x = 415,275.50 × 415,275.50
  4. Step 4: Simplify right side
    190,109x = 172,453,740,900.25
  5. Step 5: Solve for x
    x = 172,453,740,900.25/190,109
  6. Step 6: Final answer
    x = 907,130.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.