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Finding the Third Proportional to 134,454 and 293,492

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Solution

The third proportional to 134,454 and 293,492 is: 640,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,454 : 293,492 = 293,492 : x
  2. Step 2: Convert to fraction form
    134,454/293,492 = 293,492/x
  3. Step 3: Cross multiply
    134,454x = 293,492 × 293,492
  4. Step 4: Simplify right side
    134,454x = 86,137,554,064
  5. Step 5: Solve for x
    x = 86,137,554,064/134,454
  6. Step 6: Final answer
    x = 640,647.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.