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Finding the Third Proportional to 163,526 and 352,858

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Solution

The third proportional to 163,526 and 352,858 is: 761,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,526 : 352,858 = 352,858 : x
  2. Step 2: Convert to fraction form
    163,526/352,858 = 352,858/x
  3. Step 3: Cross multiply
    163,526x = 352,858 × 352,858
  4. Step 4: Simplify right side
    163,526x = 124,508,768,164
  5. Step 5: Solve for x
    x = 124,508,768,164/163,526
  6. Step 6: Final answer
    x = 761,400.44

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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.