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Finding the Third Proportional to 138,783.63 and 302,666.50

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Solution

The third proportional to 138,783.63 and 302,666.50 is: 660,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783.63 : 302,666.50 = 302,666.50 : x
  2. Step 2: Convert to fraction form
    138,783.63/302,666.50 = 302,666.50/x
  3. Step 3: Cross multiply
    138,783.63x = 302,666.50 × 302,666.50
  4. Step 4: Simplify right side
    138,783.63x = 91,607,010,222.25
  5. Step 5: Solve for x
    x = 91,607,010,222.25/138,783.63
  6. Step 6: Final answer
    x = 660,070.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.