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Finding the Third Proportional to 151,528 and 231,904

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Solution

The third proportional to 151,528 and 231,904 is: 354,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,528 : 231,904 = 231,904 : x
  2. Step 2: Convert to fraction form
    151,528/231,904 = 231,904/x
  3. Step 3: Cross multiply
    151,528x = 231,904 × 231,904
  4. Step 4: Simplify right side
    151,528x = 53,779,465,216
  5. Step 5: Solve for x
    x = 53,779,465,216/151,528
  6. Step 6: Final answer
    x = 354,914.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.