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Finding the Third Proportional to 170,284 and 370,043

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Solution

The third proportional to 170,284 and 370,043 is: 804,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,284 : 370,043 = 370,043 : x
  2. Step 2: Convert to fraction form
    170,284/370,043 = 370,043/x
  3. Step 3: Cross multiply
    170,284x = 370,043 × 370,043
  4. Step 4: Simplify right side
    170,284x = 136,931,821,849
  5. Step 5: Solve for x
    x = 136,931,821,849/170,284
  6. Step 6: Final answer
    x = 804,137.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.