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Finding the Third Proportional to 214,053 and 314,871

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Solution

The third proportional to 214,053 and 314,871 is: 463,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,053 : 314,871 = 314,871 : x
  2. Step 2: Convert to fraction form
    214,053/314,871 = 314,871/x
  3. Step 3: Cross multiply
    214,053x = 314,871 × 314,871
  4. Step 4: Simplify right side
    214,053x = 99,143,746,641
  5. Step 5: Solve for x
    x = 99,143,746,641/214,053
  6. Step 6: Final answer
    x = 463,173.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.