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Finding the Third Proportional to 155,970 and 232,914

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Solution

The third proportional to 155,970 and 232,914 is: 347,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,970 : 232,914 = 232,914 : x
  2. Step 2: Convert to fraction form
    155,970/232,914 = 232,914/x
  3. Step 3: Cross multiply
    155,970x = 232,914 × 232,914
  4. Step 4: Simplify right side
    155,970x = 54,248,931,396
  5. Step 5: Solve for x
    x = 54,248,931,396/155,970
  6. Step 6: Final answer
    x = 347,816.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.