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Finding the Third Proportional to 163,108.50 and 358,293

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Solution

The third proportional to 163,108.50 and 358,293 is: 787,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,108.50 : 358,293 = 358,293 : x
  2. Step 2: Convert to fraction form
    163,108.50/358,293 = 358,293/x
  3. Step 3: Cross multiply
    163,108.50x = 358,293 × 358,293
  4. Step 4: Simplify right side
    163,108.50x = 128,373,873,849
  5. Step 5: Solve for x
    x = 128,373,873,849/163,108.50
  6. Step 6: Final answer
    x = 787,045.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.