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Finding the Third Proportional to 230,011 and 316,730.50

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Solution

The third proportional to 230,011 and 316,730.50 is: 436,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,011 : 316,730.50 = 316,730.50 : x
  2. Step 2: Convert to fraction form
    230,011/316,730.50 = 316,730.50/x
  3. Step 3: Cross multiply
    230,011x = 316,730.50 × 316,730.50
  4. Step 4: Simplify right side
    230,011x = 100,318,209,630.25
  5. Step 5: Solve for x
    x = 100,318,209,630.25/230,011
  6. Step 6: Final answer
    x = 436,145.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.