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Finding the Third Proportional to 175,095 and 254,988

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Solution

The third proportional to 175,095 and 254,988 is: 371,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,095 : 254,988 = 254,988 : x
  2. Step 2: Convert to fraction form
    175,095/254,988 = 254,988/x
  3. Step 3: Cross multiply
    175,095x = 254,988 × 254,988
  4. Step 4: Simplify right side
    175,095x = 65,018,880,144
  5. Step 5: Solve for x
    x = 65,018,880,144/175,095
  6. Step 6: Final answer
    x = 371,334.88

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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.