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Finding the Third Proportional to 128,748 and 260,995.50

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Solution

The third proportional to 128,748 and 260,995.50 is: 529,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,748 : 260,995.50 = 260,995.50 : x
  2. Step 2: Convert to fraction form
    128,748/260,995.50 = 260,995.50/x
  3. Step 3: Cross multiply
    128,748x = 260,995.50 × 260,995.50
  4. Step 4: Simplify right side
    128,748x = 68,118,651,020.25
  5. Step 5: Solve for x
    x = 68,118,651,020.25/128,748
  6. Step 6: Final answer
    x = 529,085.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.