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Finding the Third Proportional to 112,597.50 and 243,240

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Solution

The third proportional to 112,597.50 and 243,240 is: 525,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,597.50 : 243,240 = 243,240 : x
  2. Step 2: Convert to fraction form
    112,597.50/243,240 = 243,240/x
  3. Step 3: Cross multiply
    112,597.50x = 243,240 × 243,240
  4. Step 4: Simplify right side
    112,597.50x = 59,165,697,600
  5. Step 5: Solve for x
    x = 59,165,697,600/112,597.50
  6. Step 6: Final answer
    x = 525,461.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.