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Finding the Third Proportional to 163,596 and 346,054.50

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Solution

The third proportional to 163,596 and 346,054.50 is: 732,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,596 : 346,054.50 = 346,054.50 : x
  2. Step 2: Convert to fraction form
    163,596/346,054.50 = 346,054.50/x
  3. Step 3: Cross multiply
    163,596x = 346,054.50 × 346,054.50
  4. Step 4: Simplify right side
    163,596x = 119,753,716,970.25
  5. Step 5: Solve for x
    x = 119,753,716,970.25/163,596
  6. Step 6: Final answer
    x = 732,008.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.