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Finding the Third Proportional to 163,228.50 and 346,045.50

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Solution

The third proportional to 163,228.50 and 346,045.50 is: 733,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,228.50 : 346,045.50 = 346,045.50 : x
  2. Step 2: Convert to fraction form
    163,228.50/346,045.50 = 346,045.50/x
  3. Step 3: Cross multiply
    163,228.50x = 346,045.50 × 346,045.50
  4. Step 4: Simplify right side
    163,228.50x = 119,747,488,070.25
  5. Step 5: Solve for x
    x = 119,747,488,070.25/163,228.50
  6. Step 6: Final answer
    x = 733,618.75

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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.