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Finding the Third Proportional to 170,480 and 358,933

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Solution

The third proportional to 170,480 and 358,933 is: 755,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,480 : 358,933 = 358,933 : x
  2. Step 2: Convert to fraction form
    170,480/358,933 = 358,933/x
  3. Step 3: Cross multiply
    170,480x = 358,933 × 358,933
  4. Step 4: Simplify right side
    170,480x = 128,832,898,489
  5. Step 5: Solve for x
    x = 128,832,898,489/170,480
  6. Step 6: Final answer
    x = 755,706.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.