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Finding the Third Proportional to 156,360 and 304,942

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Solution

The third proportional to 156,360 and 304,942 is: 594,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,360 : 304,942 = 304,942 : x
  2. Step 2: Convert to fraction form
    156,360/304,942 = 304,942/x
  3. Step 3: Cross multiply
    156,360x = 304,942 × 304,942
  4. Step 4: Simplify right side
    156,360x = 92,989,623,364
  5. Step 5: Solve for x
    x = 92,989,623,364/156,360
  6. Step 6: Final answer
    x = 594,714.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.