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Finding the Third Proportional to 237,741 and 352,681.50

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Solution

The third proportional to 237,741 and 352,681.50 is: 523,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,741 : 352,681.50 = 352,681.50 : x
  2. Step 2: Convert to fraction form
    237,741/352,681.50 = 352,681.50/x
  3. Step 3: Cross multiply
    237,741x = 352,681.50 × 352,681.50
  4. Step 4: Simplify right side
    237,741x = 124,384,240,442.25
  5. Step 5: Solve for x
    x = 124,384,240,442.25/237,741
  6. Step 6: Final answer
    x = 523,192.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.