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Finding the Third Proportional to 149,628 and 249,354

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Solution

The third proportional to 149,628 and 249,354 is: 415,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,628 : 249,354 = 249,354 : x
  2. Step 2: Convert to fraction form
    149,628/249,354 = 249,354/x
  3. Step 3: Cross multiply
    149,628x = 249,354 × 249,354
  4. Step 4: Simplify right side
    149,628x = 62,177,417,316
  5. Step 5: Solve for x
    x = 62,177,417,316/149,628
  6. Step 6: Final answer
    x = 415,546.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.