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Finding the Third Proportional to 259,209 and 370,669.50

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Solution

The third proportional to 259,209 and 370,669.50 is: 530,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,209 : 370,669.50 = 370,669.50 : x
  2. Step 2: Convert to fraction form
    259,209/370,669.50 = 370,669.50/x
  3. Step 3: Cross multiply
    259,209x = 370,669.50 × 370,669.50
  4. Step 4: Simplify right side
    259,209x = 137,395,878,230.25
  5. Step 5: Solve for x
    x = 137,395,878,230.25/259,209
  6. Step 6: Final answer
    x = 530,058.29

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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.