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Finding the Third Proportional to 160,124.63 and 346,546.13

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Solution

The third proportional to 160,124.63 and 346,546.13 is: 750,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,124.63 : 346,546.13 = 346,546.13 : x
  2. Step 2: Convert to fraction form
    160,124.63/346,546.13 = 346,546.13/x
  3. Step 3: Cross multiply
    160,124.63x = 346,546.13 × 346,546.13
  4. Step 4: Simplify right side
    160,124.63x = 120,094,216,752.52
  5. Step 5: Solve for x
    x = 120,094,216,752.52/160,124.63
  6. Step 6: Final answer
    x = 750,004.67

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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.