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Finding the Third Proportional to 153,527.63 and 332,023.50

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Solution

The third proportional to 153,527.63 and 332,023.50 is: 718,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,527.63 : 332,023.50 = 332,023.50 : x
  2. Step 2: Convert to fraction form
    153,527.63/332,023.50 = 332,023.50/x
  3. Step 3: Cross multiply
    153,527.63x = 332,023.50 × 332,023.50
  4. Step 4: Simplify right side
    153,527.63x = 110,239,604,552.25
  5. Step 5: Solve for x
    x = 110,239,604,552.25/153,527.63
  6. Step 6: Final answer
    x = 718,044.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.