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Finding the Third Proportional to 153,394 and 333,776

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Solution

The third proportional to 153,394 and 333,776 is: 726,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,394 : 333,776 = 333,776 : x
  2. Step 2: Convert to fraction form
    153,394/333,776 = 333,776/x
  3. Step 3: Cross multiply
    153,394x = 333,776 × 333,776
  4. Step 4: Simplify right side
    153,394x = 111,406,418,176
  5. Step 5: Solve for x
    x = 111,406,418,176/153,394
  6. Step 6: Final answer
    x = 726,276.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.