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Finding the Third Proportional to 152,398 and 334,962.13

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Solution

The third proportional to 152,398 and 334,962.13 is: 736,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,398 : 334,962.13 = 334,962.13 : x
  2. Step 2: Convert to fraction form
    152,398/334,962.13 = 334,962.13/x
  3. Step 3: Cross multiply
    152,398x = 334,962.13 × 334,962.13
  4. Step 4: Simplify right side
    152,398x = 112,199,625,184.52
  5. Step 5: Solve for x
    x = 112,199,625,184.52/152,398
  6. Step 6: Final answer
    x = 736,227.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.