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Finding the Third Proportional to 249,588.37 and 356,914.32

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Solution

The third proportional to 249,588.37 and 356,914.32 is: 510,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,588.37 : 356,914.32 = 356,914.32 : x
  2. Step 2: Convert to fraction form
    249,588.37/356,914.32 = 356,914.32/x
  3. Step 3: Cross multiply
    249,588.37x = 356,914.32 × 356,914.32
  4. Step 4: Simplify right side
    249,588.37x = 127,387,830,649.94
  5. Step 5: Solve for x
    x = 127,387,830,649.94/249,588.37
  6. Step 6: Final answer
    x = 510,391.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.