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Finding the Third Proportional to 155,528 and 232,318

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Solution

The third proportional to 155,528 and 232,318 is: 347,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,528 : 232,318 = 232,318 : x
  2. Step 2: Convert to fraction form
    155,528/232,318 = 232,318/x
  3. Step 3: Cross multiply
    155,528x = 232,318 × 232,318
  4. Step 4: Simplify right side
    155,528x = 53,971,653,124
  5. Step 5: Solve for x
    x = 53,971,653,124/155,528
  6. Step 6: Final answer
    x = 347,022.10

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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.