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Finding the Third Proportional to 153,612 and 355,842

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Solution

The third proportional to 153,612 and 355,842 is: 824,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612 : 355,842 = 355,842 : x
  2. Step 2: Convert to fraction form
    153,612/355,842 = 355,842/x
  3. Step 3: Cross multiply
    153,612x = 355,842 × 355,842
  4. Step 4: Simplify right side
    153,612x = 126,623,528,964
  5. Step 5: Solve for x
    x = 126,623,528,964/153,612
  6. Step 6: Final answer
    x = 824,307.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.