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Finding the Third Proportional to 164,032 and 358,696

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Solution

The third proportional to 164,032 and 358,696 is: 784,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,032 : 358,696 = 358,696 : x
  2. Step 2: Convert to fraction form
    164,032/358,696 = 358,696/x
  3. Step 3: Cross multiply
    164,032x = 358,696 × 358,696
  4. Step 4: Simplify right side
    164,032x = 128,662,820,416
  5. Step 5: Solve for x
    x = 128,662,820,416/164,032
  6. Step 6: Final answer
    x = 784,376.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.