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Finding the Third Proportional to 158,453 and 352,332

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Solution

The third proportional to 158,453 and 352,332 is: 783,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,453 : 352,332 = 352,332 : x
  2. Step 2: Convert to fraction form
    158,453/352,332 = 352,332/x
  3. Step 3: Cross multiply
    158,453x = 352,332 × 352,332
  4. Step 4: Simplify right side
    158,453x = 124,137,838,224
  5. Step 5: Solve for x
    x = 124,137,838,224/158,453
  6. Step 6: Final answer
    x = 783,436.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.