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Finding the Third Proportional to 190,098 and 296,050.50

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Solution

The third proportional to 190,098 and 296,050.50 is: 461,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,098 : 296,050.50 = 296,050.50 : x
  2. Step 2: Convert to fraction form
    190,098/296,050.50 = 296,050.50/x
  3. Step 3: Cross multiply
    190,098x = 296,050.50 × 296,050.50
  4. Step 4: Simplify right side
    190,098x = 87,645,898,550.25
  5. Step 5: Solve for x
    x = 87,645,898,550.25/190,098
  6. Step 6: Final answer
    x = 461,056.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.