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Finding the Third Proportional to 251,145 and 551,063.63

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Solution

The third proportional to 251,145 and 551,063.63 is: 1,209,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,145 : 551,063.63 = 551,063.63 : x
  2. Step 2: Convert to fraction form
    251,145/551,063.63 = 551,063.63/x
  3. Step 3: Cross multiply
    251,145x = 551,063.63 × 551,063.63
  4. Step 4: Simplify right side
    251,145x = 303,671,118,798.14
  5. Step 5: Solve for x
    x = 303,671,118,798.14/251,145
  6. Step 6: Final answer
    x = 1,209,146.58

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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.