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Finding the Third Proportional to 169,746 and 367,056

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Solution

The third proportional to 169,746 and 367,056 is: 793,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,746 : 367,056 = 367,056 : x
  2. Step 2: Convert to fraction form
    169,746/367,056 = 367,056/x
  3. Step 3: Cross multiply
    169,746x = 367,056 × 367,056
  4. Step 4: Simplify right side
    169,746x = 134,730,107,136
  5. Step 5: Solve for x
    x = 134,730,107,136/169,746
  6. Step 6: Final answer
    x = 793,715.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.