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Finding the Third Proportional to 245,299 and 359,871

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Solution

The third proportional to 245,299 and 359,871 is: 527,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,299 : 359,871 = 359,871 : x
  2. Step 2: Convert to fraction form
    245,299/359,871 = 359,871/x
  3. Step 3: Cross multiply
    245,299x = 359,871 × 359,871
  4. Step 4: Simplify right side
    245,299x = 129,507,136,641
  5. Step 5: Solve for x
    x = 129,507,136,641/245,299
  6. Step 6: Final answer
    x = 527,956.24

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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.