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Finding the Third Proportional to 235,087 and 352,624

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Solution

The third proportional to 235,087 and 352,624 is: 528,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,087 : 352,624 = 352,624 : x
  2. Step 2: Convert to fraction form
    235,087/352,624 = 352,624/x
  3. Step 3: Cross multiply
    235,087x = 352,624 × 352,624
  4. Step 4: Simplify right side
    235,087x = 124,343,685,376
  5. Step 5: Solve for x
    x = 124,343,685,376/235,087
  6. Step 6: Final answer
    x = 528,926.25

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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.