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Finding the Third Proportional to 190,140.75 and 292,285.50

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Solution

The third proportional to 190,140.75 and 292,285.50 is: 449,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,140.75 : 292,285.50 = 292,285.50 : x
  2. Step 2: Convert to fraction form
    190,140.75/292,285.50 = 292,285.50/x
  3. Step 3: Cross multiply
    190,140.75x = 292,285.50 × 292,285.50
  4. Step 4: Simplify right side
    190,140.75x = 85,430,813,510.25
  5. Step 5: Solve for x
    x = 85,430,813,510.25/190,140.75
  6. Step 6: Final answer
    x = 449,303.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.