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Finding the Third Proportional to 253,180.50 and 549,828

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Solution

The third proportional to 253,180.50 and 549,828 is: 1,194,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,180.50 : 549,828 = 549,828 : x
  2. Step 2: Convert to fraction form
    253,180.50/549,828 = 549,828/x
  3. Step 3: Cross multiply
    253,180.50x = 549,828 × 549,828
  4. Step 4: Simplify right side
    253,180.50x = 302,310,829,584
  5. Step 5: Solve for x
    x = 302,310,829,584/253,180.50
  6. Step 6: Final answer
    x = 1,194,052.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.