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Finding the Third Proportional to 234,748 and 351,222

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Solution

The third proportional to 234,748 and 351,222 is: 525,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,748 : 351,222 = 351,222 : x
  2. Step 2: Convert to fraction form
    234,748/351,222 = 351,222/x
  3. Step 3: Cross multiply
    234,748x = 351,222 × 351,222
  4. Step 4: Simplify right side
    234,748x = 123,356,893,284
  5. Step 5: Solve for x
    x = 123,356,893,284/234,748
  6. Step 6: Final answer
    x = 525,486.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.