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Finding the Third Proportional to 210,006 and 314,928

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Solution

The third proportional to 210,006 and 314,928 is: 472,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006 : 314,928 = 314,928 : x
  2. Step 2: Convert to fraction form
    210,006/314,928 = 314,928/x
  3. Step 3: Cross multiply
    210,006x = 314,928 × 314,928
  4. Step 4: Simplify right side
    210,006x = 99,179,645,184
  5. Step 5: Solve for x
    x = 99,179,645,184/210,006
  6. Step 6: Final answer
    x = 472,270.53

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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.