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Finding the Third Proportional to 113,480 and 170,709

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Solution

The third proportional to 113,480 and 170,709 is: 256,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,480 : 170,709 = 170,709 : x
  2. Step 2: Convert to fraction form
    113,480/170,709 = 170,709/x
  3. Step 3: Cross multiply
    113,480x = 170,709 × 170,709
  4. Step 4: Simplify right side
    113,480x = 29,141,562,681
  5. Step 5: Solve for x
    x = 29,141,562,681/113,480
  6. Step 6: Final answer
    x = 256,799.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.