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Finding the Third Proportional to 116,425.50 and 254,646

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Solution

The third proportional to 116,425.50 and 254,646 is: 556,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,425.50 : 254,646 = 254,646 : x
  2. Step 2: Convert to fraction form
    116,425.50/254,646 = 254,646/x
  3. Step 3: Cross multiply
    116,425.50x = 254,646 × 254,646
  4. Step 4: Simplify right side
    116,425.50x = 64,844,585,316
  5. Step 5: Solve for x
    x = 64,844,585,316/116,425.50
  6. Step 6: Final answer
    x = 556,962.05

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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.