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Finding the Third Proportional to 121,233 and 249,931.50

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Solution

The third proportional to 121,233 and 249,931.50 is: 515,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,233 : 249,931.50 = 249,931.50 : x
  2. Step 2: Convert to fraction form
    121,233/249,931.50 = 249,931.50/x
  3. Step 3: Cross multiply
    121,233x = 249,931.50 × 249,931.50
  4. Step 4: Simplify right side
    121,233x = 62,465,754,692.25
  5. Step 5: Solve for x
    x = 62,465,754,692.25/121,233
  6. Step 6: Final answer
    x = 515,253.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.