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Finding the Third Proportional to 166,414 and 359,070

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Solution

The third proportional to 166,414 and 359,070 is: 774,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,414 : 359,070 = 359,070 : x
  2. Step 2: Convert to fraction form
    166,414/359,070 = 359,070/x
  3. Step 3: Cross multiply
    166,414x = 359,070 × 359,070
  4. Step 4: Simplify right side
    166,414x = 128,931,264,900
  5. Step 5: Solve for x
    x = 128,931,264,900/166,414
  6. Step 6: Final answer
    x = 774,762.13

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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.