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Finding the Third Proportional to 254,189.75 and 553,590

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Solution

The third proportional to 254,189.75 and 553,590 is: 1,205,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,189.75 : 553,590 = 553,590 : x
  2. Step 2: Convert to fraction form
    254,189.75/553,590 = 553,590/x
  3. Step 3: Cross multiply
    254,189.75x = 553,590 × 553,590
  4. Step 4: Simplify right side
    254,189.75x = 306,461,888,100
  5. Step 5: Solve for x
    x = 306,461,888,100/254,189.75
  6. Step 6: Final answer
    x = 1,205,642.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.