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Finding the Third Proportional to 190,516 and 287,502

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Solution

The third proportional to 190,516 and 287,502 is: 433,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,516 : 287,502 = 287,502 : x
  2. Step 2: Convert to fraction form
    190,516/287,502 = 287,502/x
  3. Step 3: Cross multiply
    190,516x = 287,502 × 287,502
  4. Step 4: Simplify right side
    190,516x = 82,657,400,004
  5. Step 5: Solve for x
    x = 82,657,400,004/190,516
  6. Step 6: Final answer
    x = 433,860.67

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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.