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Finding the Third Proportional to 223,284 and 334,966.50

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Solution

The third proportional to 223,284 and 334,966.50 is: 502,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,284 : 334,966.50 = 334,966.50 : x
  2. Step 2: Convert to fraction form
    223,284/334,966.50 = 334,966.50/x
  3. Step 3: Cross multiply
    223,284x = 334,966.50 × 334,966.50
  4. Step 4: Simplify right side
    223,284x = 112,202,556,122.25
  5. Step 5: Solve for x
    x = 112,202,556,122.25/223,284
  6. Step 6: Final answer
    x = 502,510.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.