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Finding the Third Proportional to 186,674.63 and 289,534.50

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Solution

The third proportional to 186,674.63 and 289,534.50 is: 449,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,674.63 : 289,534.50 = 289,534.50 : x
  2. Step 2: Convert to fraction form
    186,674.63/289,534.50 = 289,534.50/x
  3. Step 3: Cross multiply
    186,674.63x = 289,534.50 × 289,534.50
  4. Step 4: Simplify right side
    186,674.63x = 83,830,226,690.25
  5. Step 5: Solve for x
    x = 83,830,226,690.25/186,674.63
  6. Step 6: Final answer
    x = 449,071.35

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Why These Related Problems?

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