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Finding the Third Proportional to 134,460 and 282,690

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Solution

The third proportional to 134,460 and 282,690 is: 594,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,460 : 282,690 = 282,690 : x
  2. Step 2: Convert to fraction form
    134,460/282,690 = 282,690/x
  3. Step 3: Cross multiply
    134,460x = 282,690 × 282,690
  4. Step 4: Simplify right side
    134,460x = 79,913,636,100
  5. Step 5: Solve for x
    x = 79,913,636,100/134,460
  6. Step 6: Final answer
    x = 594,330.18

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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.