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Finding the Third Proportional to 190,508 and 287,490

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Solution

The third proportional to 190,508 and 287,490 is: 433,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,508 : 287,490 = 287,490 : x
  2. Step 2: Convert to fraction form
    190,508/287,490 = 287,490/x
  3. Step 3: Cross multiply
    190,508x = 287,490 × 287,490
  4. Step 4: Simplify right side
    190,508x = 82,650,500,100
  5. Step 5: Solve for x
    x = 82,650,500,100/190,508
  6. Step 6: Final answer
    x = 433,842.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.