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Finding the Third Proportional to 112,350 and 237,376.50

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Solution

The third proportional to 112,350 and 237,376.50 is: 501,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,350 : 237,376.50 = 237,376.50 : x
  2. Step 2: Convert to fraction form
    112,350/237,376.50 = 237,376.50/x
  3. Step 3: Cross multiply
    112,350x = 237,376.50 × 237,376.50
  4. Step 4: Simplify right side
    112,350x = 56,347,602,752.25
  5. Step 5: Solve for x
    x = 56,347,602,752.25/112,350
  6. Step 6: Final answer
    x = 501,536.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.