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Finding the Third Proportional to 251,930.25 and 358,688.25

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Solution

The third proportional to 251,930.25 and 358,688.25 is: 510,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,930.25 : 358,688.25 = 358,688.25 : x
  2. Step 2: Convert to fraction form
    251,930.25/358,688.25 = 358,688.25/x
  3. Step 3: Cross multiply
    251,930.25x = 358,688.25 × 358,688.25
  4. Step 4: Simplify right side
    251,930.25x = 128,657,260,688.06
  5. Step 5: Solve for x
    x = 128,657,260,688.06/251,930.25
  6. Step 6: Final answer
    x = 510,686.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.