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Finding the Third Proportional to 190,584 and 278,714.25

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Solution

The third proportional to 190,584 and 278,714.25 is: 407,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584 : 278,714.25 = 278,714.25 : x
  2. Step 2: Convert to fraction form
    190,584/278,714.25 = 278,714.25/x
  3. Step 3: Cross multiply
    190,584x = 278,714.25 × 278,714.25
  4. Step 4: Simplify right side
    190,584x = 77,681,633,153.06
  5. Step 5: Solve for x
    x = 77,681,633,153.06/190,584
  6. Step 6: Final answer
    x = 407,597.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.