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Finding the Third Proportional to 210,132 and 314,454

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Solution

The third proportional to 210,132 and 314,454 is: 470,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,132 : 314,454 = 314,454 : x
  2. Step 2: Convert to fraction form
    210,132/314,454 = 314,454/x
  3. Step 3: Cross multiply
    210,132x = 314,454 × 314,454
  4. Step 4: Simplify right side
    210,132x = 98,881,318,116
  5. Step 5: Solve for x
    x = 98,881,318,116/210,132
  6. Step 6: Final answer
    x = 470,567.63

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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.