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Finding the Third Proportional to 182,348 and 292,984.25

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Solution

The third proportional to 182,348 and 292,984.25 is: 470,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,348 : 292,984.25 = 292,984.25 : x
  2. Step 2: Convert to fraction form
    182,348/292,984.25 = 292,984.25/x
  3. Step 3: Cross multiply
    182,348x = 292,984.25 × 292,984.25
  4. Step 4: Simplify right side
    182,348x = 85,839,770,748.06
  5. Step 5: Solve for x
    x = 85,839,770,748.06/182,348
  6. Step 6: Final answer
    x = 470,746.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.