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Finding the Third Proportional to 153,484.88 and 314,577

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Solution

The third proportional to 153,484.88 and 314,577 is: 644,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,484.88 : 314,577 = 314,577 : x
  2. Step 2: Convert to fraction form
    153,484.88/314,577 = 314,577/x
  3. Step 3: Cross multiply
    153,484.88x = 314,577 × 314,577
  4. Step 4: Simplify right side
    153,484.88x = 98,958,688,929
  5. Step 5: Solve for x
    x = 98,958,688,929/153,484.88
  6. Step 6: Final answer
    x = 644,745.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.