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Finding the Third Proportional to 175,535 and 257,054

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Solution

The third proportional to 175,535 and 257,054 is: 376,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,535 : 257,054 = 257,054 : x
  2. Step 2: Convert to fraction form
    175,535/257,054 = 257,054/x
  3. Step 3: Cross multiply
    175,535x = 257,054 × 257,054
  4. Step 4: Simplify right side
    175,535x = 66,076,758,916
  5. Step 5: Solve for x
    x = 66,076,758,916/175,535
  6. Step 6: Final answer
    x = 376,430.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.