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Finding the Third Proportional to 175,320 and 384,010

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Solution

The third proportional to 175,320 and 384,010 is: 841,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,320 : 384,010 = 384,010 : x
  2. Step 2: Convert to fraction form
    175,320/384,010 = 384,010/x
  3. Step 3: Cross multiply
    175,320x = 384,010 × 384,010
  4. Step 4: Simplify right side
    175,320x = 147,463,680,100
  5. Step 5: Solve for x
    x = 147,463,680,100/175,320
  6. Step 6: Final answer
    x = 841,111.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.