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Finding the Third Proportional to 229,332 and 354,222

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Solution

The third proportional to 229,332 and 354,222 is: 547,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,332 : 354,222 = 354,222 : x
  2. Step 2: Convert to fraction form
    229,332/354,222 = 354,222/x
  3. Step 3: Cross multiply
    229,332x = 354,222 × 354,222
  4. Step 4: Simplify right side
    229,332x = 125,473,225,284
  5. Step 5: Solve for x
    x = 125,473,225,284/229,332
  6. Step 6: Final answer
    x = 547,124.80

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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.