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Finding the Third Proportional to 207,164 and 313,547

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Solution

The third proportional to 207,164 and 313,547 is: 474,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,164 : 313,547 = 313,547 : x
  2. Step 2: Convert to fraction form
    207,164/313,547 = 313,547/x
  3. Step 3: Cross multiply
    207,164x = 313,547 × 313,547
  4. Step 4: Simplify right side
    207,164x = 98,311,721,209
  5. Step 5: Solve for x
    x = 98,311,721,209/207,164
  6. Step 6: Final answer
    x = 474,559.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.