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Finding the Third Proportional to 164,294 and 353,124

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Solution

The third proportional to 164,294 and 353,124 is: 758,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,294 : 353,124 = 353,124 : x
  2. Step 2: Convert to fraction form
    164,294/353,124 = 353,124/x
  3. Step 3: Cross multiply
    164,294x = 353,124 × 353,124
  4. Step 4: Simplify right side
    164,294x = 124,696,559,376
  5. Step 5: Solve for x
    x = 124,696,559,376/164,294
  6. Step 6: Final answer
    x = 758,984.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.