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Finding the Third Proportional to 252,159.50 and 546,345

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Solution

The third proportional to 252,159.50 and 546,345 is: 1,183,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,159.50 : 546,345 = 546,345 : x
  2. Step 2: Convert to fraction form
    252,159.50/546,345 = 546,345/x
  3. Step 3: Cross multiply
    252,159.50x = 546,345 × 546,345
  4. Step 4: Simplify right side
    252,159.50x = 298,492,859,025
  5. Step 5: Solve for x
    x = 298,492,859,025/252,159.50
  6. Step 6: Final answer
    x = 1,183,746.24

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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.