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Finding the Third Proportional to 164,368 and 240,696

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Solution

The third proportional to 164,368 and 240,696 is: 352,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,368 : 240,696 = 240,696 : x
  2. Step 2: Convert to fraction form
    164,368/240,696 = 240,696/x
  3. Step 3: Cross multiply
    164,368x = 240,696 × 240,696
  4. Step 4: Simplify right side
    164,368x = 57,934,564,416
  5. Step 5: Solve for x
    x = 57,934,564,416/164,368
  6. Step 6: Final answer
    x = 352,468.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.