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Finding the Third Proportional to 152,090 and 236,731

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Solution

The third proportional to 152,090 and 236,731 is: 368,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,090 : 236,731 = 236,731 : x
  2. Step 2: Convert to fraction form
    152,090/236,731 = 236,731/x
  3. Step 3: Cross multiply
    152,090x = 236,731 × 236,731
  4. Step 4: Simplify right side
    152,090x = 56,041,566,361
  5. Step 5: Solve for x
    x = 56,041,566,361/152,090
  6. Step 6: Final answer
    x = 368,476.34

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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.