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Finding the Third Proportional to 170,014.50 and 249,835.50

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Solution

The third proportional to 170,014.50 and 249,835.50 is: 367,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,014.50 : 249,835.50 = 249,835.50 : x
  2. Step 2: Convert to fraction form
    170,014.50/249,835.50 = 249,835.50/x
  3. Step 3: Cross multiply
    170,014.50x = 249,835.50 × 249,835.50
  4. Step 4: Simplify right side
    170,014.50x = 62,417,777,060.25
  5. Step 5: Solve for x
    x = 62,417,777,060.25/170,014.50
  6. Step 6: Final answer
    x = 367,132.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.