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Finding the Third Proportional to 216,075 and 341,871

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Solution

The third proportional to 216,075 and 341,871 is: 540,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,075 : 341,871 = 341,871 : x
  2. Step 2: Convert to fraction form
    216,075/341,871 = 341,871/x
  3. Step 3: Cross multiply
    216,075x = 341,871 × 341,871
  4. Step 4: Simplify right side
    216,075x = 116,875,780,641
  5. Step 5: Solve for x
    x = 116,875,780,641/216,075
  6. Step 6: Final answer
    x = 540,903.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.