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Finding the Third Proportional to 171,360 and 358,236

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Solution

The third proportional to 171,360 and 358,236 is: 748,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,360 : 358,236 = 358,236 : x
  2. Step 2: Convert to fraction form
    171,360/358,236 = 358,236/x
  3. Step 3: Cross multiply
    171,360x = 358,236 × 358,236
  4. Step 4: Simplify right side
    171,360x = 128,333,031,696
  5. Step 5: Solve for x
    x = 128,333,031,696/171,360
  6. Step 6: Final answer
    x = 748,908.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.