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Finding the Third Proportional to 232,308 and 357,210

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Solution

The third proportional to 232,308 and 357,210 is: 549,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308 : 357,210 = 357,210 : x
  2. Step 2: Convert to fraction form
    232,308/357,210 = 357,210/x
  3. Step 3: Cross multiply
    232,308x = 357,210 × 357,210
  4. Step 4: Simplify right side
    232,308x = 127,598,984,100
  5. Step 5: Solve for x
    x = 127,598,984,100/232,308
  6. Step 6: Final answer
    x = 549,266.42

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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.