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Finding the Third Proportional to 175,528 and 251,008

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Solution

The third proportional to 175,528 and 251,008 is: 358,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,528 : 251,008 = 251,008 : x
  2. Step 2: Convert to fraction form
    175,528/251,008 = 251,008/x
  3. Step 3: Cross multiply
    175,528x = 251,008 × 251,008
  4. Step 4: Simplify right side
    175,528x = 63,005,016,064
  5. Step 5: Solve for x
    x = 63,005,016,064/175,528
  6. Step 6: Final answer
    x = 358,945.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.