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Finding the Third Proportional to 152,566.50 and 236,038.50

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Solution

The third proportional to 152,566.50 and 236,038.50 is: 365,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,566.50 : 236,038.50 = 236,038.50 : x
  2. Step 2: Convert to fraction form
    152,566.50/236,038.50 = 236,038.50/x
  3. Step 3: Cross multiply
    152,566.50x = 236,038.50 × 236,038.50
  4. Step 4: Simplify right side
    152,566.50x = 55,714,173,482.25
  5. Step 5: Solve for x
    x = 55,714,173,482.25/152,566.50
  6. Step 6: Final answer
    x = 365,179.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.