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Finding the Third Proportional to 152,360 and 352,664

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Solution

The third proportional to 152,360 and 352,664 is: 816,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,360 : 352,664 = 352,664 : x
  2. Step 2: Convert to fraction form
    152,360/352,664 = 352,664/x
  3. Step 3: Cross multiply
    152,360x = 352,664 × 352,664
  4. Step 4: Simplify right side
    152,360x = 124,371,896,896
  5. Step 5: Solve for x
    x = 124,371,896,896/152,360
  6. Step 6: Final answer
    x = 816,302.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.