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Finding the Third Proportional to 195,522 and 375,492

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Solution

The third proportional to 195,522 and 375,492 is: 721,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,522 : 375,492 = 375,492 : x
  2. Step 2: Convert to fraction form
    195,522/375,492 = 375,492/x
  3. Step 3: Cross multiply
    195,522x = 375,492 × 375,492
  4. Step 4: Simplify right side
    195,522x = 140,994,242,064
  5. Step 5: Solve for x
    x = 140,994,242,064/195,522
  6. Step 6: Final answer
    x = 721,117.02

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.