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Finding the Third Proportional to 237,348 and 366,492

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Solution

The third proportional to 237,348 and 366,492 is: 565,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,348 : 366,492 = 366,492 : x
  2. Step 2: Convert to fraction form
    237,348/366,492 = 366,492/x
  3. Step 3: Cross multiply
    237,348x = 366,492 × 366,492
  4. Step 4: Simplify right side
    237,348x = 134,316,386,064
  5. Step 5: Solve for x
    x = 134,316,386,064/237,348
  6. Step 6: Final answer
    x = 565,904.86

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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.