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Finding the Third Proportional to 130,492 and 278,075

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Solution

The third proportional to 130,492 and 278,075 is: 592,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,492 : 278,075 = 278,075 : x
  2. Step 2: Convert to fraction form
    130,492/278,075 = 278,075/x
  3. Step 3: Cross multiply
    130,492x = 278,075 × 278,075
  4. Step 4: Simplify right side
    130,492x = 77,325,705,625
  5. Step 5: Solve for x
    x = 77,325,705,625/130,492
  6. Step 6: Final answer
    x = 592,570.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.