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Finding the Third Proportional to 180,624 and 277,730

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Solution

The third proportional to 180,624 and 277,730 is: 427,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624 : 277,730 = 277,730 : x
  2. Step 2: Convert to fraction form
    180,624/277,730 = 277,730/x
  3. Step 3: Cross multiply
    180,624x = 277,730 × 277,730
  4. Step 4: Simplify right side
    180,624x = 77,133,952,900
  5. Step 5: Solve for x
    x = 77,133,952,900/180,624
  6. Step 6: Final answer
    x = 427,041.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.