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Finding the Third Proportional to 116,316 and 254,785.50

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Solution

The third proportional to 116,316 and 254,785.50 is: 558,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,316 : 254,785.50 = 254,785.50 : x
  2. Step 2: Convert to fraction form
    116,316/254,785.50 = 254,785.50/x
  3. Step 3: Cross multiply
    116,316x = 254,785.50 × 254,785.50
  4. Step 4: Simplify right side
    116,316x = 64,915,651,010.25
  5. Step 5: Solve for x
    x = 64,915,651,010.25/116,316
  6. Step 6: Final answer
    x = 558,097.35

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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.