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Finding the Third Proportional to 134,075 and 277,429

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Solution

The third proportional to 134,075 and 277,429 is: 574,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,075 : 277,429 = 277,429 : x
  2. Step 2: Convert to fraction form
    134,075/277,429 = 277,429/x
  3. Step 3: Cross multiply
    134,075x = 277,429 × 277,429
  4. Step 4: Simplify right side
    134,075x = 76,966,850,041
  5. Step 5: Solve for x
    x = 76,966,850,041/134,075
  6. Step 6: Final answer
    x = 574,058.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.