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Finding the Third Proportional to 175,196 and 270,572

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Solution

The third proportional to 175,196 and 270,572 is: 417,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,196 : 270,572 = 270,572 : x
  2. Step 2: Convert to fraction form
    175,196/270,572 = 270,572/x
  3. Step 3: Cross multiply
    175,196x = 270,572 × 270,572
  4. Step 4: Simplify right side
    175,196x = 73,209,207,184
  5. Step 5: Solve for x
    x = 73,209,207,184/175,196
  6. Step 6: Final answer
    x = 417,870.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.