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Finding the Third Proportional to 153,506 and 332,572

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Solution

The third proportional to 153,506 and 332,572 is: 720,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,506 : 332,572 = 332,572 : x
  2. Step 2: Convert to fraction form
    153,506/332,572 = 332,572/x
  3. Step 3: Cross multiply
    153,506x = 332,572 × 332,572
  4. Step 4: Simplify right side
    153,506x = 110,604,135,184
  5. Step 5: Solve for x
    x = 110,604,135,184/153,506
  6. Step 6: Final answer
    x = 720,519.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.