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Finding the Third Proportional to 151,605 and 237,114

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Solution

The third proportional to 151,605 and 237,114 is: 370,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,605 : 237,114 = 237,114 : x
  2. Step 2: Convert to fraction form
    151,605/237,114 = 237,114/x
  3. Step 3: Cross multiply
    151,605x = 237,114 × 237,114
  4. Step 4: Simplify right side
    151,605x = 56,223,048,996
  5. Step 5: Solve for x
    x = 56,223,048,996/151,605
  6. Step 6: Final answer
    x = 370,852.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.