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Finding the Third Proportional to 134,334 and 282,492

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Solution

The third proportional to 134,334 and 282,492 is: 594,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,334 : 282,492 = 282,492 : x
  2. Step 2: Convert to fraction form
    134,334/282,492 = 282,492/x
  3. Step 3: Cross multiply
    134,334x = 282,492 × 282,492
  4. Step 4: Simplify right side
    134,334x = 79,801,730,064
  5. Step 5: Solve for x
    x = 79,801,730,064/134,334
  6. Step 6: Final answer
    x = 594,054.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.