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Finding the Third Proportional to 176,833 and 260,029.50

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Solution

The third proportional to 176,833 and 260,029.50 is: 382,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,833 : 260,029.50 = 260,029.50 : x
  2. Step 2: Convert to fraction form
    176,833/260,029.50 = 260,029.50/x
  3. Step 3: Cross multiply
    176,833x = 260,029.50 × 260,029.50
  4. Step 4: Simplify right side
    176,833x = 67,615,340,870.25
  5. Step 5: Solve for x
    x = 67,615,340,870.25/176,833
  6. Step 6: Final answer
    x = 382,368.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.