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Finding the Third Proportional to 190,761 and 282,901.50

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Solution

The third proportional to 190,761 and 282,901.50 is: 419,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,761 : 282,901.50 = 282,901.50 : x
  2. Step 2: Convert to fraction form
    190,761/282,901.50 = 282,901.50/x
  3. Step 3: Cross multiply
    190,761x = 282,901.50 × 282,901.50
  4. Step 4: Simplify right side
    190,761x = 80,033,258,702.25
  5. Step 5: Solve for x
    x = 80,033,258,702.25/190,761
  6. Step 6: Final answer
    x = 419,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.