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Finding the Third Proportional to 230,283 and 355,259.25

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Solution

The third proportional to 230,283 and 355,259.25 is: 548,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,283 : 355,259.25 = 355,259.25 : x
  2. Step 2: Convert to fraction form
    230,283/355,259.25 = 355,259.25/x
  3. Step 3: Cross multiply
    230,283x = 355,259.25 × 355,259.25
  4. Step 4: Simplify right side
    230,283x = 126,209,134,710.56
  5. Step 5: Solve for x
    x = 126,209,134,710.56/230,283
  6. Step 6: Final answer
    x = 548,061.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.