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Finding the Third Proportional to 117,030 and 176,580.50

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Solution

The third proportional to 117,030 and 176,580.50 is: 266,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,030 : 176,580.50 = 176,580.50 : x
  2. Step 2: Convert to fraction form
    117,030/176,580.50 = 176,580.50/x
  3. Step 3: Cross multiply
    117,030x = 176,580.50 × 176,580.50
  4. Step 4: Simplify right side
    117,030x = 31,180,672,980.25
  5. Step 5: Solve for x
    x = 31,180,672,980.25/117,030
  6. Step 6: Final answer
    x = 266,433.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.