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Finding the Third Proportional to 155,303 and 232,714

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Solution

The third proportional to 155,303 and 232,714 is: 348,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,303 : 232,714 = 232,714 : x
  2. Step 2: Convert to fraction form
    155,303/232,714 = 232,714/x
  3. Step 3: Cross multiply
    155,303x = 232,714 × 232,714
  4. Step 4: Simplify right side
    155,303x = 54,155,805,796
  5. Step 5: Solve for x
    x = 54,155,805,796/155,303
  6. Step 6: Final answer
    x = 348,710.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.