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Finding the Third Proportional to 170,034 and 249,865.50

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Solution

The third proportional to 170,034 and 249,865.50 is: 367,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,034 : 249,865.50 = 249,865.50 : x
  2. Step 2: Convert to fraction form
    170,034/249,865.50 = 249,865.50/x
  3. Step 3: Cross multiply
    170,034x = 249,865.50 × 249,865.50
  4. Step 4: Simplify right side
    170,034x = 62,432,768,090.25
  5. Step 5: Solve for x
    x = 62,432,768,090.25/170,034
  6. Step 6: Final answer
    x = 367,178.14

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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.