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Finding the Third Proportional to 117,730.50 and 254,319

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Solution

The third proportional to 117,730.50 and 254,319 is: 549,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,730.50 : 254,319 = 254,319 : x
  2. Step 2: Convert to fraction form
    117,730.50/254,319 = 254,319/x
  3. Step 3: Cross multiply
    117,730.50x = 254,319 × 254,319
  4. Step 4: Simplify right side
    117,730.50x = 64,678,153,761
  5. Step 5: Solve for x
    x = 64,678,153,761/117,730.50
  6. Step 6: Final answer
    x = 549,374.66

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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.