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Finding the Third Proportional to 152,938 and 242,930

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Solution

The third proportional to 152,938 and 242,930 is: 385,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,938 : 242,930 = 242,930 : x
  2. Step 2: Convert to fraction form
    152,938/242,930 = 242,930/x
  3. Step 3: Cross multiply
    152,938x = 242,930 × 242,930
  4. Step 4: Simplify right side
    152,938x = 59,014,984,900
  5. Step 5: Solve for x
    x = 59,014,984,900/152,938
  6. Step 6: Final answer
    x = 385,875.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.