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Finding the Third Proportional to 153,511.88 and 236,830.50

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Solution

The third proportional to 153,511.88 and 236,830.50 is: 365,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,511.88 : 236,830.50 = 236,830.50 : x
  2. Step 2: Convert to fraction form
    153,511.88/236,830.50 = 236,830.50/x
  3. Step 3: Cross multiply
    153,511.88x = 236,830.50 × 236,830.50
  4. Step 4: Simplify right side
    153,511.88x = 56,088,685,730.25
  5. Step 5: Solve for x
    x = 56,088,685,730.25/153,511.88
  6. Step 6: Final answer
    x = 365,370.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.