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Finding the Third Proportional to 170,643 and 372,342

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Solution

The third proportional to 170,643 and 372,342 is: 812,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,643 : 372,342 = 372,342 : x
  2. Step 2: Convert to fraction form
    170,643/372,342 = 372,342/x
  3. Step 3: Cross multiply
    170,643x = 372,342 × 372,342
  4. Step 4: Simplify right side
    170,643x = 138,638,564,964
  5. Step 5: Solve for x
    x = 138,638,564,964/170,643
  6. Step 6: Final answer
    x = 812,448.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.