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Finding the Third Proportional to 170,366 and 370,468

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Solution

The third proportional to 170,366 and 370,468 is: 805,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,366 : 370,468 = 370,468 : x
  2. Step 2: Convert to fraction form
    170,366/370,468 = 370,468/x
  3. Step 3: Cross multiply
    170,366x = 370,468 × 370,468
  4. Step 4: Simplify right side
    170,366x = 137,246,539,024
  5. Step 5: Solve for x
    x = 137,246,539,024/170,366
  6. Step 6: Final answer
    x = 805,598.18

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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.